Question

(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12. The other factors are ___, ___, and ___.

Answer 1

Answer:

Step-by-step explanation:

The given equation is:

$x^4+2x^3-7x^2-8x+12$

Now, (x-2) is a factor of the given equation, therefore

$(x-2)(x^3+4x^2+x-6)$

$(x-2)(x-1)(x^2+5x+6)$

$(x-2)(x-1)(x^2+3x+2x+6)$

$(x-2)(x-1)(x(x+3)+2(x+3))$

$(x-2)(x-1)(x+2)(x+3)$

Therefore, the other factors are (x-1), (x+2) and (x+3).

Answer 2

(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12. The other factors are(x - 1), (x + 2) and (x + 3)