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sergeinik [125]
2 years ago
15

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

Mathematics
1 answer:
vlada-n [284]2 years ago
5 0

Answer:

-2x²(x + 1)(x - 4)

Step-by-step 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)

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