Sarahsussid
Answered

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

Sagot :

Chetankachanaid

Answer:

-2x²(x + 1)(x - 4)

Step-by-step explanation:

Hello!

Factor:

  • [tex]-2x^4 + 6x^3 + 8x^2[/tex]
  • [tex]-2x^2(x^2 - 3x - 4)[/tex]        Take out GCF

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

Answer: -4 and 1

Continue:

  • [tex]-2x^2(x^2 - 3x - 4)[/tex]
  • [tex]-2x^2(x^2 - 4x + x - 4)[/tex]
  • [tex]-2x^2(x(x - 4) + 1(x - 4))[/tex]       Factor by Grouping
  • [tex]-2x^2(x + 1)(x - 4)[/tex]

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