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)
