Question

Given p(x) = 2x³ + 7x² + 2x - 3 and p(1/2) = 0, then the factor of p(x) is

Options :

A(2x + 1)

B(2x - 1)

C(x - 2)

D(x + 2)

no spam and kindly explain your answer!​

Answer 1

THE ANSWER IS B (2x-1)

Given

p(x) = 2x³ + 7x² + 2x - 3 and p(1/2) = 0

p(1/2) = 0, hence x =1/2

now

x= 1/2

2x= 1

2x-1 = 0

Answer- p(1/2) = 0, then the factor of p(x) is 2x-1