Question

If (x-2) is a factor of the polynomial 2x^2+kx-15,then the value of k isa) 7b) -7c)-7/2d)7/2pls answer this question​

Answer 1

Pls mark as brainliest answer

Answer 2

$Let \: p(x) = 2x^{2} + kx - 15$

$If \:(x-2)\:is\:a\:factor \: of \: p(x) \:then$

$p(2) = 0 \: \blue{ ( By \: Remainder \: theorem)}$

$\implies 2\times 2^{2} + k \times 2- 15 = 0$

$\implies 2 \times 4 + 2k - 15 = 0$

$\implies 8 + 2k - 15 = 0$

$\implies 2k - 7 = 0$

$\implies 2k = 7$

$\implies k = \frac{7}{2}$

Therefore.,

$Option \: \pink{ ( d ) } \: is \: correct.$

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