Question

find the value of k if (x+5) completely divides the polynomial p(x)= 2x^3 +kx^2 -7x -10

Answer 1

Answer:

k = 9

Step-by-step explanation:

p(x) = 2x^3 + kx^2 - 7x - 10

(x + 5) is completely divides p(x) then we are putting x = -5 then definitely p(x) = 0

p (-5) = 0

2*(-5)^3 + k*(-5)^2 - 7*(-5) - 10 = 0

2*(-125) + k*25 + 35 - 10 = 0

-250 + 25k +25 = 0

25k = 225

k = 225/25

k = 9