Question

Factorize: x^3 - 5x^2 + 2x + 8​

Answer 1

Answer:

(x+1)(x−4)(x−2)=0

If any individual factor on the left side of the equation is equal to 0

, the entire expression will be equal to 0

.

x+1=0

x−4=0

x−2=0

Set the first factor equal to 0

and solve.

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x=−1

Set the next factor equal to 0

and solve.

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x=4

Set the next factor equal to 0

and solve.

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x=2

The final solution is all the values that make (x+1)(x−4)(x−2)=0

true.

x=−1,4,2