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Question

If p(x)=4+3x-x2+5x3 then, find p(-1).


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Solution

Finding the value of p(-1), when p(x)=4+3x-x2+5x3:


Values of Polynomial: The value of a polynomial p(x)atx=a is obtained by putting x=a in the given polynomial. This is denoted by p(a).

Given equation, p(x)=4+3x-x2+5x3
Putting the value x=-1 in the given equation, we get,

⇒p(-1)=4+3(-1)-(-1)2+5(-1)3⇒p(-1)=4+3(-1)-(1)+5(-1)⇒p(-1)=4-3-1-5⇒p(-1)=4-4-5⇒p(-1)=0-5⇒p(-1)=-5

Hence, the value of the given equation at p(-1)=-5.


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