Question

If (x-3) is a factor of p(x), then the reminder is (a.p(3),b.p(-3),c.3,d.-3)​

Answer 1

ANSWER

Since (x−2) is a factor of the polynomial 3x

3

−2x

2

+kx−6=0, we have

p(2)=0

i.e. 3(2)

3

−2(2)

2

+k(2)−6=0$

i.e. 24−8+2k−6=0

i.e. 2k=−10

i.e. k=−5.