# Find the value of k if (x – 1) is a factor of the polynomial 2x2 + kx + √2

Using Remainder Theorem:

Putting factor = 0, we get -

(x – 1) = 0

x = 1.

Now, it is given that (x – 1) is a factor of the polynomial 2x2 + kx + √2

If we substitute x = 1 in 2x2 + kx + √2, the remainder will be zero.

2(1)2 + k(1) + √2 = 0

2 + k + √2 = 0

k = – (2 + √ 2)

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