If p(x) = x3 - x2 + x + 1 , find the value of p (5) + p (-5) .
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Hi,
Given p(x) = x³-x²+x+1,
We need to find the value of 1/2[p(-1) + p(1)]
Consider p(-1) = (-1)³ - (-1)² -1 + 1
= -1 -1 -1 + 1
= -2
Consider p(1) = 1³ - 1² + 1 + 1
= 1 - 1 + 1 + 1
= 2
So, p(-1) + p(1)
= -2 + 2
= 0
Hence, 1/2[p(-1) + p(1)] = 1/2*0
= 0.
Hope, it helps !
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