To Add polynomials, just combine like terms, by adding their coefficients. 1) (2x2 + 5x 2) + (3x2 x + 5) – – 2) Add 5z2 10z 12 – – 3z2 + 7z 9 – To Subtract, you must distribute the negative and then add. 3) (14y3 6y2 + 2y 5) (2y3 7y2 4y + 6) – – – – – 4) Subtract 3mn + 2m 4n – -mn + 4m + n When multiplying all monomials, just use the rules of exponents. When multiplying a monomial by a polynomial (other than another monomial), distribute. 2) When multiplying two binomials, distribute both terms, the acronym FOIL may be used. 3) Another Method for multiplying is to work vertically. 4) Multiplying a sum and a difference of two binomials: 1) 2)
To Add polynomials, just combine like terms, by adding their coefficients. 1) (2x2 + 5x – 2) + (3x2 – x + 5) 2) Add 5z2 – 10z – 12 3z2 + 7z – 9 To Subtract, you must distribute the negative and then add. 3) (14y3 – 6y2 + 2y – 5) – (2y3 – 7y2 – 4y + 6) 4) Subtract 3mn + 2m – 4n -mn + 4m + n When multiplying all monomials, just use the rules of exponents. When multiplying a monomial by a polynomial (other than another monomial), distribute. 2) When multiplying two binomials, distribute both terms, the acronym FOIL may be used. 3) Another Method for multiplying is to work vertically. 4) Multiplying a sum and a difference of two binomials: 1) 2)