Which Shows One Way To Determine The Factors Of X3 – 9X2 + 5X – 45 By Grouping?

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Question

Which shows one way to determine the factors of x3 – 9×2 + 5x – 45 by grouping? x2(x – 9) – 5(x – 9) x2(x + 9) – 5(x + 9) x(x2 + 5) – 9(x2 + 5) x(x2 – 5) – 9(x2 – 5)

Answer

X³ – 9x² + 5x – 45x²(x – 9) – 5(x – 9) ⇒ x³ – 9x² – 5x + 45 INCORRECTx²(x + 9) – 5(x + 9) ⇒ x³ + 9x² – 5x – 45 INCORRECTx(x² + 5) – 9(x² + 5) ⇒ x³ + 5x – 9x² – 45 CORRECTIt just needs to be rearranged.x(x² – 5) – 9(x² – 5) ⇒ x³ – 5x – 9x² + 45 INCORRECT

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