If P(x) = x3- x2+x +1.then find the value of P(-1)+P(1)
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Step-by-step explanation:
Given,
p(x) = x³ - x² + x + 1
To Find :-
p(-1)+p(1)/2
Solution :-
To Find p(-1) we need substitute '-1' in place of 'x' in p(x) :-
→ p(-1) = (-1)³ - (-1)² + (-1) + 1
= - 1 - (1) - 1 + 1
= - 1 - 1 - 1 + 1
= - 2
p(-1) = - 2
To Find p(1) we need substitute '1' in place of 'x' in p(x) :-
→ p(1) = (1)³ - (1)² + 1 + 1
= 1 - (1) + 1 + 1
= 1 - 1 + 1 + 1
= 2
p(1) = 2
p(-1)+p(1)/2 = - 2 + 2/2
= 0/2
= 0
∴ p(-1) + p(1)/2 = 0
Ataraxia:
Great!
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