Question

if (x-5) is a factor of p(x)=x^2-8x+k,then value ok k =​

Answer 1

Answer:

k= 15

Step-by-step explanation:

p(x)=x^2-8x+k

x-5=0 ⇒ x=5

Given that (x-5) is a factor of p(x) which means that the remainder is zero (0).

p(5)=5²-8(5)+k= 0

25 - 40 + k =0

-15 + k = 0

k= 15

         Hope it helps you. Take care.