Question

Show all steps to find the product of -3x^3 + 2x - 4 and x^3 + x - 2.

Answer 1

Answer:

  -3x^6 -x^4 +2x^3 -8x +8

Step-by-step explanation:

Use the distributive property 4 times.

  (-3x^3 + 2x - 4)×(x^3 + x - 2)

  = -3x^3(x^3 +x -2) +2x(x^3 +x -2) -4(x^3 +x -2) . . . . once

  = -3x^6 -3x^4 +6x^3 +2x^4 +2x^2 -4x -4x^3 -4x +8 . . . . 3 more times

  = -3x^6 +x^4(-3+2) +x^3(6 -4) +2x^2 +x(-4 -4) +8 . . . . group like terms

  = -3x^6 -x^4 +2x^3 -8x +8