Factor the polynomial completely given that -2 is a zero. You must show the division of the polynomial, the new quadratic to be

Question

ICE Princess25 [194]

3 years ago

9

Factor the polynomial completely given that -2 is a zero. You must show the division of the polynomial, the new quadratic to be

factored and all three final factors of this polynomial.
f(x)=x^2+3x^2-10x-24

Mathematics

1 answer:

mojhsa [17] · Answer 1 · 2021-12-24T00:25:00+03:00

mojhsa [17]3 years ago

7 0

(x^2+3x^2-10x-24)/(x+2)
(4x^2-10x-24)/(x+2)
4x^2-10x-24=0
2x^2-5x-12=0
2x^2-5x-12/(x+2)
2x=(2x^2-5x)-(2x^2+4x)>>-9x-12
2x-9=(-9x-12)-(-9x-18)
2x-9=6
4x-18=12>>4x-6
(x-4)(2x+3) is the factorization