Question

find the value of k, (x-3)is a factor of p(x) = x^3 -7x^2 + kx - 6​

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

Here p(x)=3x

2

+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=03k=33

k=11