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If p(x)=2x-3x+1 and r(x) =x -5x then find r(x)- p(x+1)

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1 Answer

p(x) = 2x2 - 3x + 1 and r(x) = x2 - 5x

r(x) - p(x + 1)

Remember that you are replacing each x in p(x) with an x + 1

x2 - 5x - [2(x + 1)2 - 3(x + 1) + 1]

x2 - 5x - [2(x2 + 2x + 1) - 3x - 3 + 1]

x2 - 5x - [2x2 + 4x + 2 - 3x - 2]

x2 - 5x - [2x2 + x]

x2 - 5x - 2x2 - x

-x2 - 6x