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Question
The area of a rectangle is x3 – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.
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Solution
Area = x3 − 8x + 7
One side = x − 1
∴ Adjacent side = (x3 − 8x + 7) ÷ (x − 1)
`"x"-1)overline("x"^3-8"x"+7)("x"^2-7"x"-7`
x3 − x2
− +
− 7x2 + 7
− 7x2 + 7x
+ −
− 7x + 7
− 7x + 7
+ −
×
∴ Other side = x2 − 7x − 7
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