Question

if (x-2) is a factor of 2x^2 +k then the value of k is​

Answer 1

Answer:

k = -8

Step-by-step explanation:

let x-2 is a factor of the given polynomial, therefore x = 2 will be a solution for the given polynomial

Putting x = 2 in the polynomial

2 * (2)(2) + k = 0

This implies that,

k = -8

Answer 2

Answer:

- 8

Step-by-step explanation:

Since (x -2) is a factor of given equation, therefore x = 2 will satisfy the equation.

Therefore,

$p(x) = 2 {x}^{2} + k$

$p(2) = 2 \times {(2)}^{2} + k = 0$

$8 + k = 0$

$k = - 8$

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