#1**+5 **

(2x^5 + 3x^2)(x^4 - 4x^2 + 3x - 8)

Multiply the terms in the first set of parentheses over the four terms in the second set of parentheses...so we have

(2x^5 + 3x^2)(x^4) = 2x^9 + 3x^6

(2x^5 + 3x^2)(-4x^2) = -8x^7 -12x^4

(2x^5 + 3x^2)(3x) + 6x^6 + 9x^3

(2x^5 + 3x^2)(-8) -16x^5 -24x^2

Adding down, we have 2x^9 - 8x^7 + 9x^6 -16x^5 -12x^4 + 9x^3 - 24x^2

CPhill
Dec 8, 2014