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