Question

Find the value of A if 2x+1 is a factor of 2x³ - ax² - 2ax² - 5.

a) A=2

b) A=1

c) A=−1

d) A=0

Answer 1

The value of A is -1.

Step-by-step explanation:

To find the value of A, we need to determine when 2x + 1 is a factor of the given polynomial.

Given the polynomial 2x³ - ax² - 2ax² - 5, we can factor out 2x + 1 using synthetic division to see when the remainder is 0.

The remainder will be 0 when A = -1 (option c). Therefore, the value of A is -1.