Question

Factor completely
-2x^4+6x^3+8x^2

Answer 1

-2x²(x + 1)(x - 4)

Explanation:

Hello!

Factor:

• 
  `-2x^4 + 6x^3 + 8x^2`
• 
  `-2x^2(x^2 - 3x - 4)` Take out GCF

Think: What numbers add up to -3 and multiply to -4?

Answer: -4 and 1

Continue:

• 
  `-2x^2(x^2 - 3x - 4)`
• 
  `-2x^2(x^2 - 4x + x - 4)`
• 
  `-2x^2(x(x - 4) + 1(x - 4))` Factor by Grouping
• 
  `-2x^2(x + 1)(x - 4)`

The complete factored form is -2x²(x + 1)(x - 4)