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12-04-2019
Mathematics

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r^3+2r^2-9r-18 complete factorization

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MrsStrong MrsStrong

18-04-2019

Answer:

(r-3)(r+3)(r+2)

Step-by-step explanation:

To factor the equation, factor by grouping. Group the terms in pairs and factor out a GCF.

r³ + 2r² - 9r - 18

(r³ + 2r²) +(-9r - 18)

r²(r + 2) -9(r + 2)

(r² -9)(r+2)

Factor r² - 9 as a difference of squares.

(r-3)(r+3)(r+2)

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