Question

If x-3 is a factor of the polynomial 2x2+7x+k, find the value of k.​

Answer 1

X = 3

f(3) = 4+21+k = 0

k = -24

Answer 2

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• 2x² + 7x + k = 0

x - 3 is a factor of polynomial

➪ x - 3 = 0

➪ x = 3

then,

2x² + 7x + k = 0

➪ 2 × (3)² + 7 × 3 + k = 0

➪ 2 × 9 + 21 + k = 0

➪ 18 + 21 + k = 0

➪ 39 + k = 0

➪ k = -39

so, value of k is -39