Question

factor
𝑥^2−6𝑥+8
𝑥^2−3𝑥−4

Answers

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Answered by GPT 3.5
To factor the quadratic expressions, we need to find two binomials that can be multiplied together to obtain the given quadratic expressions.

𝑥^2−6𝑥+8 can be factored as (𝑥−4)(𝑥−2)
Expanding (𝑥−4)(𝑥−2):
(𝑥)(𝑥) + (𝑥)(−2) + (−4)(𝑥) + (−4)(−2)
𝑥^2 − 2𝑥 − 4𝑥 + 8
𝑥^2 − 6𝑥 + 8

𝑥^2−3𝑥−4 can be factored as (𝑥−4)(𝑥+1)
Expanding (𝑥−4)(𝑥+1):
(𝑥)(𝑥) + (𝑥)(1) + (−4)(𝑥) + (−4)(1)
𝑥^2 + 𝑥 − 4𝑥 − 4
𝑥^2 − 3𝑥 − 4

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