Question

check whether 2x+3 is a factor of 2x³+3x²​

Answer 1

Answer:

yes 2x+3 is factor of 2x^3+3x^2

Step-by-step explanation:

=2x^3+3x^2÷2x+3

=2x^3+3x^2/2x+3

=x^2(2x+3)/2x+3

=x^2

here 2x^3+3x^2 is completely divided by 2x+3.

so 2x+3 is fector of 2x^3+3x^2

Answer 2

2x+3=0
x=-3/2
2*(-3/2)^3+3*(-3/2)^2
-27/4+27/4
=0
Yes 2x+3 is a factor of 2x^3+3x^2