Question

(x-3) is a factor of polynomial

a)
$2x { }^{2} + x - 15$
b)
$2x {}^{2} - x + 15$
c)
$2x {}^{2} + x + 15$
d)
$2x {}^{2} - x - 15$

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Answer 1

Answer:

Answer is

$2x {}^{2} - x - 15$

Step-by-step explanation:

$x - 3 = 0 \\ x = 0 + 3 \\ x = 3 \\ \\ p(x) = 2x {}^{2} - x - 15 \\ p(3) = 2(3) {}^{2} - 3 - 15 \\ = 18 - 3 - 15 \\ = 15 - 15 \\ = 0$

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