Is (x-3) factor of (3x3+10x2-x-12)?

From evaluation at x = 3; we may conclude that (x-3) is not a factor of (3x3+10x2-x-12).

If the polynomial (x -3) is a factor of (3x3+10x2-x-12);

Therefore; when x = 3; we have;

3(3)³ + 10(3)² - 3 -12

= 81 + 90 -3 -12

= 156

Since 156 is not equal to 0;

Consequently, (x-3) is not a factor of (3x3+10x2-x-12).

Read more on Polynomial factors:

link

Step-by-step explanation:

x-3=0

x=3

find f(3)

or 3(3)³+10(3)²-3-12=81+90-3-12=171-15=156≠0

so x-3 is not a factor.

or

divide the given expression by x-3

step-by-step explanation:

mean or average is 40.6