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5x^4+10x^3-175x^2 multi-step factoring
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5x^4+10x^3-175x^2 multi-step factoring

User Arthur Tsidkilov
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1 Answer

4 votes

Find the Greatest Common Factor (GCF)

GCF = 5x^2

Factor out the GCF. (Write the GCF first. Then in parenthesis, divide each term by the GCF)

5x^2(5x^4/5x^2 + 10x^3/5x^2 + -175x^2/5x^2)

Simplify each term in parenthesis

5x^2(x^2 + 2x - 35)

Factor x^2 + 2x - 35

= 5x^2(x - 5)(x + 7)

User Ryan Abbott
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