Question

If (x-2)is a factor of 2x³-7x²+11x+ 5a,find the value of a .

Answer 1

Answer:

a = 2

Step-by-step explanation:

Answer 2

Answer:

-2

Step-by-step explanation:

It is given in the question that (x – 2) is a factor of 2x3 – 7x2 + 11x + 5a

Let f (x) = 2x3 – 7x2 + 11x + 5a

Now, x – 2 = 0

x = 2

∴ f (2) = 0

2 (2)3 – 7 (2)2 + 11 (2) + 5a = 0

16 – 28 + 22 + 5a = 0

38 – 28 + 5a = 0

10 + 5a = 0

5a = - 10

a = - 2

the value of a is -2