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Factor Theorem

If x + 5 and ...

Question

If (x + 5) and (x – 3) are the factors of $a x^{2} + b x + c$ , then values of a, b and c are

1, 2, 15

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1, −2, 15

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1, 2, −15

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1, 2, 3

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Solution

The correct option is C 1, 2, −15
$(x + 5) (x - 3) = x^{2} + (5 - 3) x + (5) (- 3) = x^{2} + 2 x - 15 c o m p a r e w i t h a x^{2} + b x + c a = 1, b = 2 a n d c = - 15$

Correct Option: d) 1, 2, −15

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