Question

If ( x+ 5 ) is a zero of x^3+2x^2-14x+k+2 , then find k​

Answer 1

Step-by-step explanation:

if x+5 is a factor of f(x) then remainder f(-5)=0

-5³+2×5²+14×5+k+2 =0

-125+50+70+k+2 =0

-3+k=0

k=3

Answer 2

Step-by-step explanation:

p( -5) = (-5)³ + 2(-5)² -14(-5) + k + 2 = 0

= -125 + 50 + 60 + 2 +k = 0

= k = 14