if p(x)=2x^2-3x+1, then find the value of p(1)-p(-1)/2
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Step-by-step explanation:
r(x^2) means to evaluate r(x) substituting x^2 for x:
r(x2) = (x2)2 - 5x2
Similarly: p(x+1) = 2(x+1)2 - 3(x+1) + 1
so r(x2) - p(x+1) = (x2)2 - 5x2 - (2(x+1)2 - 3(x+1) + 1)
= x4 - 5x2 - ((2x2 + 2x + 1) - 3x - 3 + 1)
= x4 - 5x2 - 2x2 - 2x - 1 + 3x + 3 - 1
= x4 - 7x2 + x
= x ( x3 - 7x + 1)
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