Question

If x+2 is a factor of polynomial x2+7x+k then find k

Answer 1

Sub -2 in the polynomial
(-2)²+7(-2)+k=0
4-14+k=0
k=10

Answer 2

The value of k is "10".

Step-by-step explanation:

$The \ given \ equation \ is:\\x^2+7x+k=0\\If \ "x+2" \ is \ a \ factor,then\\x+2=0\\x=-2\\On \ putting \ the \ value \ of \ "x" \ in \ the \ above \ equation,we \ get\\(-2)^2+7(-2)+k=0\\4-14+k=0\\-10+k=0\\k=10$

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