Question

Using factor theorem, show that (2x+1) is a factor of 2x³+3x²-11x-6​

Answer 1

Now, 2x+1=0

⇒x=-1/2

f(x)=2x³+3x²-11x-6

⇒f(-1/2)=2(-1/2)³+3(-1/2)²-11(-1/2)-6

=2(-1/8)+3(1/4)+(11/2)-6

=(-1/4)+(3/4)+(11/2)-6

=(-1+3+22-24)÷4

=0/4

=0

Step-by-step explanation:

@Genius