Find the value of c so that the polynomial p (x) is divisible by (x-3).

p (x) = - x^3+cx^2-4x+3

Question

Mathematics

Alia Santos

15 September, 06:11

Find the value of c so that the polynomial p (x) is divisible by (x-3).

p (x) = - x^3+cx^2-4x+3

+2

Answers (1)

Know the Answer?

Jocelynn Koch · Answer 1

c=4

Step-by-step explanation:

If polynomial p (x) is divisible by (x-3), then x=3 is zero of p (x).

p (x) = -x^3+cx^2-4x+3

0=p (3) = -3^3 + c*3^2 - 4*3+3

0=-27+9c-12+3

0=-27-9+9c

0=-36+9c

36=9c

c=36/9

c=4

Find the value of c so that the polynomial p (x) is divisible by (x-3).p (x) = - x^3+cx^2-4x+3

Find the value of c so that the polynomial p (x) is divisible by (x-3).

p (x) = - x^3+cx^2-4x+3