When multiplying two polynominals, what fundamentals do you use repeatedly?

Answer by  Sam22 (22)

The multiplication of two polynomials demands repeated attention to the precedence of multiplication over addition and the precedence of grouping symbols (i.e. parentheses) over multiplication and division. It also requires repeated use of the distributive property and, when helpful, the commutative and associate properties of addition and multiplication.

Answer by  Lebowitz (11)

When multiplying single term and multiple term polynomials you will need to remember to add exponents of common variables. [ex.(5x^2y^3)(3x^3y^4)=15x^(2+3)y^(3+4)=15x^5y^7] Additionally, when multiplying multiple term polynomials you will need to remember distributive and commutative properties. [ex.(2x+3y)(x+4y)=(2x^2+8xy+3yx+12y^2)=(2x^2+8xy+3xy+12y^2)=(2x^2+11xy+12y^2)]

Answer by  willard (874)

When multiplying two polynomials, one makes repeated use of the two fundamental properties of addition and multiplication known as the distributive and associative properties. The distributive property says that a*(b+c) = a*b +a*c, while the associate property says that (a*b)*c =a*(b*c) and that a+(b+c)=(a+b)+c. Repeated application of these properties leads to the eventual simplification of any product of polynomials.