Question

For what value of k , ( x-3) is a factor of ( ) = ^3 − 6^2 − + 1

Answer 1

Answer:

According to the Remainder theorem, when a polynomial p(x) is divided by (x-a) , then the Remainder is the value of p(x) at x= a

Step-by-step explanation:

Here p(x)=3x2+kx+6

When it is divided by its factor (x+3), 

Remainder is =p(−3)=0

3(−3)2+(−3)k+6=0

27−3k+6=0

33−3k=0

3k=33

k=11