Question

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

Answer 1

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

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)