Question

When polynomial kx3+9x2+4x-8 divided by x+3 leaves remainder 7 find value of k ​

Answer 1

Answer:

k=2

Step-by-step explanation:

7-61k = -54/-27

gets canceled

k = 2

Answer 2

Answer:

value of k = 2

Step-by-step explanation:

Given polynomial p(x) =  kx³+9x²+4x-8  

                             g(x) = (x+3)

and p(x) is divided by g(x) and leaves reminder 7  

here we need to find the value of k

take  x+3 = 0 ⇒ x = -3  

from given data p(x) is divisible by g(x) and leaves reminder 7

then p(-3) will be equal to 7

⇒ p(-3) = k(-3)³+9(-3)²+4(-3)-8  = 7

             - 27k + 81 - 12 - 8 = 7

             - 27k + 61 = 7

             - 27k = - 54

                    k = 54/27 = 2