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A Polynomial is considered an expression that has variables and coefficients. These operations can only be preformed in subtraction, addition, multiplication and non-negative variables. An example of a polynomial is. lined.

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when adding a polynomial start with your equation and bring down like terms and place them together and add.
To subtract a polynomial you always want to reverse the sign with each term. Then subtract, and if you have 2y-2x It cancels out.

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You have to start by multiplying the first terms with each term on the second polynomial. You also have to multiply the coefficients. Combine like terms if there are any.

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4.) Dividing Polynomials with Long division 

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4.) Dividing Polynomials with Long division 

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You take the polynomial with two terms and divide it into the other polynomial. Multiply and distribute the polynomial in front of the division symbol.

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to divide using synthetic division you have to divide with a linear factor with the leading coefficient starting at 1.

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This method gets factored into two binomials. so if an expression can be viewed as the difference of two perfect squares a^2-b^2 then we can factor it as (a+b)(a-b).

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Group the first two terms together and then the last two terms together. Then factor out the greatest common factor from each binomial and then factor out the common binomial.

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to factor a trinomial for example you get x^2+5x+4 then find numbers that add up to 5. Since 1 and 4 add up to 5 factor it like (x+1)(x+4).

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6.) Factor Polynomials with greatest common factor

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6.) Factor Polynomials with greatest common factor

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For this method you need to find the greatest common factor in the polynomial and then you used distributive property to factor out the greatest common factor.