Question

use factorize theory 6x^3+x^2+4x-12 completely ​

Answer 1

Step-by-step explanation:

So we have f(x) = 6x^3 + 17x^2 + 4x – 12.

So f(-2) = 6(- 2)^3 + 17 (-2)^2 + 4(-2) – 12.

= - 48 + 68 – 8 – 12.

= 68 – 68.

= 0.

Dividing by (x + 2) we get.

So x + 2) 6x^3 + 17 x^2 + 4x – 12 (6x^2 + 5x – 6.

6x^3 + 12x^2.

Answer 2

Answer:

Answer: f(x)= 6x³+17x²+4x-12. factors of 12 are +-1;+-2;+-3;+-4;+-6;+-12. hence x+2 is a factor of f(x).