\((x^2 - x)^2 - 14(x^2 - x) + 24\)
What is the answer?
Answer (2)
( x 2 − x ) 2 − 14 ( x 2 − x ) + 24 = x 4 − 2 x 3 + x 2 − 14 x 2 + 14 x + 24 = x 4 − 2 x 3 − 13 x 2 + 14 x + 24
The expression ( x 2 − x ) 2 − 14 ( x 2 − x ) + 24 can be simplified and factored to ( x − 4 ) ( x + 3 ) ( x − 2 ) ( x + 1 ) by first substituting y = x 2 − x and then applying factoring techniques to the resulting quadratic equation.
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