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Introduction to Factorization

If 2x + 1 and...

Question

If (2x + 1) and (x - 3) are the factors of $a x^{2} - 5 x + c$ , then the values of a and c are respectively.

A

2, 3

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B

-2, 3

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C

2, -3

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D

1, -3

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Solution

The correct option is B 2, -3
$(2 x + 1) (x - 3) = a x^{2} - 5 x + c$
$2 x^{2} - 6 x + x - 3$
$2 x^{2} - 5 x - 3$
$a = 2$ $b = - 3$

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