Question

If (x - 3) is a factor of the polynomial (2x^2 + x + k), find k.​

Answer 1

ANSWER:-

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Answer 2

$\huge\tt\orange{Solution:-}$

Given that

x - 3 is a factor of the polynomial 2x² + x + k

To Find

To find = k

Then according to question :-

x - 3 = 0

x = 3

→ putting the value of x

2x² + x + k = 0

2 × 3² + 3 + k = 0

2 × 9 + 3 + k = 0

18 + 3 + k = 0

21 + k = 0

k = -21

$\huge\boxed{\boxed{k = -21}}$