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02-04-2020
Mathematics

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Let p(x) = x3 – 5x2 + cx + 4. For what value of c is (x - 2) a factor of p(x)?

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02-04-2020

Answer: 4

Step-by-step explanation:

P(x)= x3-5x2+cx+4

X-2 is a factor of p(x)

Let p(x)= 0

X-2=0

X=2

Substitute for x=2 in p(x)

0=2^3-5(2)^2+2c+4

0=8-5(4)+2c+4

0=8-20+2c+4

Collect like terms

-8+20-4=2c

8=2c

C=8/2

C=4

The value of C is 4

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