SOLUTION: given the following polynomials, perform the indicated operations p(x)=6x^3 - x^2 + 5x +2 q(x) = 2x^3 + 5x^2-7x-3 determine p(x) + q(x) determine q(x) - p(x)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: given the following polynomials, perform the indicated operations p(x)=6x^3 - x^2 + 5x +2 q(x) = 2x^3 + 5x^2-7x-3 determine p(x) + q(x) determine q(x) - p(x)       Log On


   

Question 146471: given the following polynomials, perform the indicated operations

p(x)=6x^3 - x^2 + 5x +2
q(x) = 2x^3 + 5x^2-7x-3


determine p(x) + q(x)

determine q(x) - p(x) Thanks!!!!!!
Answer by aswathytony(47) About Me  (Show Source):
You can put this solution on YOUR website!
p(x) = 6x^3+ x^2+5x +2
q(x) = 2x^3 +5x^2-7x-3
p(x)+q(x) = 6x^3 +x^2 +5x + 2 + 2x^3 +5x^2 -7x-3
= 8x^3 + 6x^2 -2x -1 (adding like terms)
q(x) - p(x) = 2x^3 +5x^2 -7x -3 -(6x^3 +x^2 +5x +2)
= 2x^3 + 5x^2 -7x-3 -6x^3 - x^2 -5x - 2
= -4x^3 +4x^2 - 12x -5 (adding like terms )