What are the factors of x3 + 6x2 - x - 30?

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What are the factors of x3 + 6x2 - x - 30?

2007-08-08 12:50:16 · 3 answers · asked by Sublime 33 1 in Science & Mathematics ➔ Mathematics

3 answers

x^3+6x^2-x-30
=x^2(x-2)+8x(x-2)+15(x-2)
=(x-2)(x^2+8x+15)
=(x-2)(x+3)(x+5).ANS.

2007-08-08 12:58:00 · answer #1 · answered by Anonymous · 0⤊ 0⤋

X^3+6x^2-x-30=0

Let x = 2

8+24-2-30=0

First factor x = 2

(x-2)(x^2+8x+15)=0

Factorise X^2+8x+15

(x-2)(x+3)(x+5)

Factors are X = 2, -3, -5

Hope this helps

2007-08-08 20:00:30 · answer #2 · answered by amsga 2 · 0⤊ 0⤋

x = 2 makes the expression 0 so x-2 is a factor. Now divide x^3+6x^2 -x -30 by x-2 getting x^2+8x+15 = (x+5)(x+3).
So factors are (x-2)(x+3)(x+5)

2007-08-08 19:59:04 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋