Question

(ii) p(x) = 2x2 + k + 2​

Answer 1

Apply remainder theorem

=>x - 1 =0

=> x = 1

According to remainder theorem p(1) = 0 we get

Plug x = 1 we get

p(1) = 2(1)2 + k(1) + √2

p(1) =2 + k + √2

0 = 2 + √2 + k

-2 - √2 = k

- (2 + √2) = k

Answer is k = - (2 + √2)

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