Question

if (x-1) is a factor of the polynomial 2x2-2a then find the value of a​

Answer 1

Answer:

The value of 'a'​ = 1

Step-by-step explanation:

Given,

(x-1) is a factor of 2x²-2a

To find

The value of 'a'

Solution:

Recall the concept

Factor theorem

If p(x) is a polynomial, the linear polynomial (x-a) is a factor of the polynomial p(x) then p(a) = 0

Let p(x) = 2x²-2a

Here since the linear polynomial (x-1) is a factor of p(x),

by factor theorem we have p(1) = 0

2×1²-2a = 0

2 -2a = 0

2a = 2

a = 1

∴The value of 'a'​ = 1

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