Question

check whether 2x+3 is a factor of 2x^3-x-6​

Answer 1

Refer to the attachment !

Hope it helps ⭐⭐⭐

Answer 2

Answer:

No, (2x+3) is not the factor of polynomial (2x^3-x-6).

Step-by-step explanation:

We have given;

               Polynomial : 2x^3-x-6​;

               Expression  : 2x+3

Now, the zero of polynomial, for the expression 2x+3, will be;

                         = 2x+3 = 0;

                         = 2x = -3;

                         = x = -3/2;

Now, place it in the polynomial, in the place of the variable. If the outcome turns out to be 0 then the  expression will be the polynomial's factor.

                   =  2( -3/2)^3-( -3/2)-6;

                   = -54/8 + 3/2 - 6;

                   = - 90/8;

Since, the outcome is - 90/8 not 0, hence (2x+3) is not the factor of the given polynomial.

That's all.