Q4 of 90 Page 31

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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