Question

If x140+2x151+k is divisible by x+1 , then the value of k is
FAST​

Answer 1

Answer:

let p(x) = 140x + 2x + 151 + k

and the zero of x + 1 = -1

p(-1) = 0

so, 0 = 140x + 2x + 151 + k

or 142(-1) + 2(-1)+ 151 = -k

-142 + -2 +151 = -k

-144 + 151 = -k

7 = -k

therefore, k = -7

Answer 2

Answer:

Given, x

140

+2x

151

+k is divisible by x + 1

∴x+1 is a factor of x

140

+2x

151

+k

x+1=0

x=−1

(−1)

140

+2(−1)

151

+k=0

1−2+k=0

k=1