Subtracting Polynomials- Algebra I

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## Monday, September 28, 2015

### Subtracting Polynomials- Algebra I

In this video, you will learn how to subtract polynomials. A polynomial has one or more terms. When subtracting polynomials, you distribute the negative 1 to each of the terms in the second polynomial and then change the subtraction sign into an addition sign. Then you simply add by combining like terms.

### GCF of Polynomials - Algebra I

In this video you will learn how to find the GCF or the Greatest Common Factor of polynomials. To find the GCF, you need to first find the greatest common factor of the constants or numbers, and the greatest common factor of the variables. Then multiply the two to get the GCF of the entire polynomial.

GCF of Polynomials - Algebra I

### Factoring Out A Monomial - Algebra I

In this video you will learn how to factor out a monomial. A monomial is a single term. When you have to factor out a monomial, you are simply finding the GCF or greatest common factor of the term, and then dividing by the GCF, to get a simplified, factorized answer. You write the GCF and then in parenthesis you write the factorization solution.

Factoring Out A Monomial - Algebra I

### Multiply a Binomial by a Trinomial - Algebra I

In this video, you will learn how to multiply a binomial by a trinomial. A binomial consists of two terms and a trinomial consists of three terms. When you multiply a binomial by a trinomial, you distribute the first term of the binomial to all three terms of the trinomial, and then you distribute the second term of the binomial to the three terms as well. Then you just simply combine all like terms, and you have your product.

Multiply a Binomial by a Trinomial - Algebra I

### Product of a Sum and Difference - Algebra I

In this video you will learn how to find the product of a sum and a difference. A sum and difference is simply whether the operation in a binomial is addition or subtraction. Addition is a sum and subtraction is a difference. When you multiply them, you use the FOIL method, which is simply distributing the first term of the first binomial to the two terms in the second binomial, and then repeating with the second term of the first term. Finally you combine all like terms, and you have your product of a sum and a difference.

Product of a Sum and Difference - Algebra I

### Factoring x²+bx+c When b is greater than 0 and c is also greater than 0 - Algebra I

In this video, you will learn how to factor the standard form of a polynomial, which is x^2+bx+c, when the value of b is greater than 0 and value of c is greater than 0. When factoring a polynomial, you are looking for a factor pair of the value of c, that when you add them you get the value of b. When factored, you will have two binomial, or a pair of binomials which when multiplied, gives you the original polynomial.

Factoring x²+bx+c When b is greater than 0 and c is also greater than 0 - Algebra I

### Factoring x²+bx+ c When b is less than 0 and c is greater than 0 - Algebra I

In this video, you will learn how to factor a polynomial in standard form, which is x^2+bx+c. When factoring a polynomial, you are looking for a factor pair of the value of c, that when you add them you get the value of b. When factored, you will have two binomial, or a pair of binomials which when multiplied, gives you the original polynomial.

Factoring x²+bx+ c When b is less than 0 and c is greater than 0 - Algebra I

### Factoring x²+bx+c When value of C is less than 0 - Algebra I

In this video, you will learn how to factor x^2+bx+c when the value of c is less than 0. When you factor a polynomial, you find a factor pair of the value of c that when when you add the two numbers in the factor pair, you get the value of b. You write those values in the two binomials that are the result of factoring.

Factoring x²+bx+c When value of C is less than 0 - Algebra I

### Applying Factoring Trinomials - Algebra I

In this video, you will learn how to apply factoring trinomials to word problems. A trinomial is type of polynomial that consists of three terms. In this word problem, you have to find the possible dimensions of a rectangle whose area is equal to a trinomial. So, to find the dimensions, you will factor the trinomial.

Applying Factoring Trinomials - Algebra I

### Factoring a Trinomial with Two Variables - Algebra I

In this video, you will learn how to factor a trinomial with two variables. When you factor, you are looking for a factor pair of the value of c that when you add the numbers you get the value of b. Once you have those numbers, you simply write the binomials and then add the second variable at the end with the number. To learn more in detail, watch the video!

Factoring a Trinomial with Two Variables - Algebra I

### How to Square a Binomial - Algebra I

In this video, you will learn how to square a binomial. A binomial consists of two terms. When you square a binomial, you multiply the binomial by itself. You do this by using the distributive property. First multiply the first terms of each binomial, then the outer terms, then the inside terms, and then the last terms. Finally, combine the like terms, and there you have your answer. This method used for binomials is also called the FOIL Method.

How to Square a Binomial - Algebra I

### Factoring ax²+bx+c, When ac is positive - Algebra I

In this video, you will learn how to factor ax²+bx+c when the value of ac is positive. First, you determine the values of a, b, c, and ac. Then you find a factor pair of ac that when you add them you get the value of b. Once you have your binomials, divide the constants in the binomials by the a value to get your final answer. If the constant doesn't divide evenly into the a term, then multiply the a by the variable and let the constant be as it is.

Factoring ax²+bx+c, When ac is positive - Algebra I

### How to Factor a Difference of Two Squares - Algebra I

In this video, you will learn how to factor a difference of two squares. When you have a difference of two squares, you have a binomial that you have to write in the form of a²- b². Then you simply write as (a+b) (a-b). When you multiply these, you should be able to get the original binomial.

How to Factor a Difference of Two Squares - Algebra I

### Factoring ax²+bx+c when ac is Negative - Algebra I

In this video, you will learn how to factor ax²+bx+c when ac is negative. When you multiply the value of a and the value of c, you get ac. To factor a polynomial is this form, you temporarily remove the a terms, and replace the c term with the ac term so that the polynomial is now in standard form. Standard form of a polynomial is x²+bx+c. After you have this form, you simply factor the two binomials. Now you bring back the a term and divide the constant of the binomials by the a. If the constant divides evenly, you write the quotient in place of the constant. If it doesn't divide evenly, then you bring the a term up and multiply it by the variable and leave the constant of the binomial as it is.

Factoring ax²+bx+c when ac is Negative - Algebra I

### Factoring out a Common Factor - Algebra I

In this video, you will learn how to factor out a common factor in a polynomial by using what is called factoring by grouping. When a polynomial has four terms, you can factor it by putting parenthesis around the first two terms and the last tow terms. Then you find the GCF or greatest common factor of each binomial. Then, divide the binomial by the GCF to factor. You should get the same binomial in the parenthesis after finding the GCF of each binomial and dividing. Next, just write the common binomial in one set of parenthesis and the two GCFs in the second set of parenthesis. The sign between the GCFs in the binomial are determined by the sign of the third term in the polynomial.

How to Factoring out a Common Factor - Algebra I

### Factoring a Perfect Square Trinomial - Algebra I

In this video, you will learn how to factor a perfect square trinomial. When factoring a perfect square trinomial, you first need to identify whether the trinomial is a perfect square trinomial. You can do this by determining whether the first and last terms are perfect squares. If they are, then it is a perfect square trinomial. Next, find the square root of the first term. This is the first term in your binomial. Then determine the square root of your last term which will be the second term in your binomial. The sign is determined by the sign of the second term of the trinomial. Once you have your binomial, put parenthesis around it and put it to the second power, or square it. So the result of factoring a perfect square trinomial is a square of a binomial. That means that is you square the binomial, you will get that perfect square trinomial. The two forms of the perfect square trinomials are a²+2ab+b² and a²-2ab+b². To learn more about this topic, watch the video!

Factoring a Perfect Square Trinomial - Algebra I

## Monday, September 21, 2015

### Multiplying A Monomial and A Trinomial - Algebra I

In this video, you will learn how to multiply a monomial by a trinomial. A monomial is a single term whereas a trinomial is three terms. When you multiply a monomial and a trinomial, you are simply distributing the monomial to each of the terms in the trinomial. The product that you get is your final answer. When you distribute, you are actually applying the distributive property.

How to Multiplying A Monomial and A Trinomial - Algebra I

### What is a Polynomial - Algebra I

In this video, you will learn about a POLYNOMIAL.

A

A

**Polynomial**is a mathematical expression that contains one or more terms. A polynomial could be further classified as a monomial, binomial, trinomial, and if more than three terms are present, than simply polynomial will be used. You will be shown an example of a polynomial and will also learn about the standard form of a polynomial, which is further explained in another video.
What is a Polynomial - Algebra I

### What is a Mononomial - Algebra I

**Expression Definition:**A mathematical phrase that has terms that can be constants, variables, operators and exponents.

Lets say we have expression

100+x-3xy+y/3+9x^2y^3

**Monomial:**A single term that can be

A Real number such as 2,-3, 100,2.5,2/3

A Variable such as x,y,z

A product of Real number and a variable or variables with whole number exponents

such as 4x,,4xy, 9x^2, 9xy^3, x/4

What is MonoNomial in Math - Algebra I

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## Sunday, September 13, 2015

### Adding Polynomials - Algebra I

In this video, you will learn how to add polynomial. A polynomial is a mathematical phrase that includes more than one term. There are two methods to add polynomial. First is to add horizontally and ten second is to add vertically. When you add horizontally, you put a parenthesis around each polynomial and put a plus sign in the middle. Then you simply combine like terms. When you add vertically, you line up the terms on top of each other so that the like terms are lined up. Then you combine the like terms. To learn more, watch this video!

How to add Polynomials- Algebra I

### Classifying Polynomials - Algebra I

In this video, you will learn how to classify a polynomial. A polynomial can be classified within two categories. The first category is based on the number of terms, and the second is based on the name using the degree of the polynomial. A polynomial is a mathematical phrase that includes more than one term. The degree of a polynomial is the sum of the exponents of the greatest term. Polynomial can be monomials, binomial, or trinomials. A polynomial can also be a constant, linear, cubic, quadratic, or fourth degree.

How to Classify Polynomial - Algebra I

### Standard Form of a Polynomial - Algebra I

The standard form of a polynomial is when you write the polynomial in order of the term with the greatest exponent down to the term with the least exponent. In this video, you will learn how to write the standard form of several polynomials. A polynomial is a mathematical phrase with more than one term. The prefix 'poly' means more than one. To learn more, please watch this algebra video.

How to write Polynomial in Standard form- Algebra I

## Tuesday, September 1, 2015

### What is the Degree of a Monomial - Algebra I

The

A

5x has a degree of 1. 5x = 5x^1 so the exponent is 1

6x^2y^3 has a degree of 5. The exponents are 2 and 3. Their sum is 5.

4 has a degree of 0. 4 = 4x^0. The degree of a nonzero constant is zero.

**degree of a monomial**is the sum of the exponents of its variables. The degree of a non-zero constant is 0. Zero has no degree.A

**monomial**is a real number, a variable, or a product of a real number and one or more variables with whole-number exponents.**Examples:**5x has a degree of 1. 5x = 5x^1 so the exponent is 1

6x^2y^3 has a degree of 5. The exponents are 2 and 3. Their sum is 5.

4 has a degree of 0. 4 = 4x^0. The degree of a nonzero constant is zero.

What is the Degree of a Monomial - Algebra I

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