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

Question

Briley Riley

Mathematics

17 July, 13:59

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

+2

Answers (1)

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Alina · Answer 1

(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

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

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