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Polynomials

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Question

Find the factors of the following expressions:

(4) y − 1 + y³ − y²

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Solution

y − 1 + y³ − y²
We can factorise this expression as:
y − 1 + y³ − y²
= (y − 1) + (y³ − y²)
= 1 (y − 1) + y² (y − 1)
= (y − 1) (1 + y²)

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