Question

Check weather 2 + 3x is a factor of 12x^3 - 13x^2 - 15x + 7

Answer 1

as it can't fully divide so 2+3x is not a factor

Answer 2

Main Concept:Put 2+3X=0

And U will got the value of X

Replace this value important p(X)

if after replacing the u didn't got zero then it's not the factor

Solutions:

Here,3x+2=0

X=-2/3

Replacing in p(X) we got.

12×(-2/3)^3-13×(-2/3)^2-15(-2/3)+7

=-32/9-52/9+10+7

=-84/9+17

it will never become zero.

so, it is not a factor ofp(X)