Question

Q.2 If x+1 is a factor of the Polynomial 2x²+ Kx + 1 then the value of K is (C) - 2 (B) 2 (D) -3 (A) 3​

Answer 1

Answer:

(A) 3

Explanation:

Given polynomial,

⇒ 2x² + kx + 1

Whose one of the factor is (x + 1)

We need to find the value of ‘k’

By factor theorem,

⇒ x + 1 = 0

⇒ x = -1

On substituting the value of ‘x’ in p(x) :-

⇒ 2(-1)² + k(-1) + 1 = 0

⇒ 2(1) - k + 1 = 0

⇒ 2 - k + 1 = 0

⇒ 3 - k = 0

⇒ 3 = k

∴ The value of ‘k’ is 3.

_____________________

Verification:

Substituting the value of x and k in the polynomial,

⇒ 2(-1)² + (3)(-1) + 1 = 0

⇒ 2(1) - 3 + 1 = 0

⇒ 2 - 3 + 1 = 0

⇒ 3 - 3 = 0

⇒ 0 = 0

∵ L. H. S = R. H. S.

Hence, verified !!

Answer 2

Answer:

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Step-by-step explanation:

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