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15 May, 07:52

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

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  1. 15 May, 08:13
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    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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