Multiply Polynomials 2

Question

Multiply (4x3−2x+3x2+1)(3−2x+x2)

Answer 1

To do this, you need to multiply everything in the first polynomial by everything in the second.

So:

4x³ (3 - 2x +x²) = 12x³ -8x⁴ + 4x⁵

-2x (3 - 2x + x²) = -6x +4x² -2x³

+3x² (3 - 2x + x²) = 9x² - 6x³ + 3x⁴

1 (3 - 2x + x²) = 3 - 2x + x²

Next, group like terms together and simplify.

4x⁵ + (3x⁴-8x⁴) + (12x³ - 2x³ - 6x³) + (4x² +9x² +x²) + (-6x - 2x) +3

4x⁵ - 5x⁴ + 4x³ + 14x² - 8x +3