Question

if p(x)=x⁴+2x³-10x²-14x+21,then find p(1),p(-1),p(1/2)
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Answer 1

Answer:

0 ; 24 ; 189/16

Step-by-step explanation:

Sol:

p(x)=x⁴+2x³-10x²-14x+21

p(1) = (1)4 + 2(1)3 - 10(1)2 - 14(1) + 21

     = 1 + 2 - 10 - 14 + 21

     = 0

p(-1) = (-1)4 + 2(-1)3 - 10(-1)2 - 14(-1) + 21

     = 1 - 2 - 10 + 14 + 21

     = 24

p(1/2) = (1/2)4 + 2(1/2)3 - 10(1/2)2 - 14(1/2) + 21

        = (1/16) + (1/4) - (5/2) - (7) + (21)

        = 189/16

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