Question

If (x-2) and (x+2) are factors of ax⁴+2x³-3x²+bx-4.Find the value of a+b.
Plz give the ans eid explanation .

Answer 1

Answer:

The value of a+b = -7

Step-by-step explanation:

We know that, x-2 is a  factor.

Therefore, x = 2

Thus, replacing this in the equation, we get,

16a+16-12+2b-4 = 16a+2b

Now, x+2 is a  factor.

Therefore, x = -2

Replacing this in the equation, we get,

16a -16-12-2b-4 = 16b-2b-32

We know that,

16a+2b=0

16b-2b-32 = 0

Thus, 16a+2b=16a-2b-32

Therefore, 4b = -32

Thus, b = -8

Now replacing this in equ. 1, we get that a = 1

Thus, a+b = -7

HOPE THIS HELPS YOU...