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

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

Respuesta :

Answer:

c = 4.

Step-by-step explanation:

If p(x) is divisible by  (x-3) then p(3) = 0 (By the Factor Theorem), so

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

-27 + 9c - 12 + 3 = 0

9c = 27 + 12 - 3

9c = 36

c = 4.

Answer:

4

Step-by-step explanation:

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