Question

IF x²-x-42=(x+k)(x+6) then find k​

Answer 1

Answer:

Answer

Given,

x-x-42 = (x +k)(x +6)

We have to find the value of k.

Now,

x-X-42 (x +k)(x +6)

*-7x+6x 6x - 42 = (x +k)(x +6)

x(x -7)+6(x - 7) = (x+ k){x + 6)

(x+6)(x -7) = (x +k)(x +6)

Explanation:

(x+6)(x - 7) = (x +k)(x +6)

(x- 7) = (x +k)

k= -7

Hence, the value of k is -7.