Question

Q1. If (x+5) is a factor of p(x)=x²+kx-15 then value of k is?​

Answer 1

Answer:

k = 2

Step-by-step explanation:

If (x+5) is a factor of p(x) = x²+kx-15, then by factor theorem, p(-5) must be equal to zero.

$p( - 5) = 0 \\ {( - 5)}^{2} + k( - 5) - 15 = 0 \\ 25 - 5k - 15 = 0 \\ 10 - 5k = 0 \\ 10 = 5k \\ k = 2$