# SOLUTION: factor completely or state that the polynomial is prime. a.) 2x^3y - 32xy b.) x^8 - y^8 c.) 3x^5 + 24x^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor completely or state that the polynomial is prime. a.) 2x^3y - 32xy b.) x^8 - y^8 c.) 3x^5 + 24x^2      Log On

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 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Polynomials-and-rational-expressions Question 239373: factor completely or state that the polynomial is prime. a.) 2x^3y - 32xy b.) x^8 - y^8 c.) 3x^5 + 24x^2Answer by nyc_function(2741)   (Show Source): You can put this solution on YOUR website! BIG TIP: Post one question at a time or else your questions will be ignored. I will do (a). factor completely or state that the polynomial is prime. a.) 2x^3y - 32xy We need to remove the grestest common factor and then divide each term by the greatest common factor. The GCF = 2xy 2xy(x^2 - 16) (x^2 - 16) is the difference of two perfect squares and factors out to be (x - 4)(x + 4). Final answer: 2xy(x - 4)(x + 4)