If x - 3 is a factor of x^2 - ax - 15, then a = - Vidyadip

MCQ

If $x - 3$ is a factor of $x^2 - ax - 15,$ then $a =$

✓
$-2$
B
$5$
C
$-5$
D
$3$

✓

Answer

Correct option: A.

$-2$

$x - 3$ is a factor of $x^2 - ax - 15,$
then at $x = 3,$
$x^2 - ax - 15 = 0$
$i.e. (3)^2 - a(3) - 15 = 0$
$9 - 3a - 15 = 0$
$a = -2$

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