sarahsuss
Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

Sagot :

chetankachana

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)

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.