If x^2 - x - 42 = (x + k) (x + 6), then k = - Vidyadip

MCQ

If $x^2 - x - 42 = (x + k) (x + 6),$ then $k =$

A
$6$
B
$-6$
C
$7$
✓
$-7$

✓

Answer

Correct option: D.

$-7$

D. $-7$
Solution:
$x^2 - x - 42$
$= x^2 - 7x + 6x - 42$
$= x(x - 7) + 6(x - 7)$
$= (x - 7) (x + 6)$ $\therefore$ $k = -7$

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