Answer :

Final answer:

To factor x³ – 9x² + 5x – 45 by grouping, first, group terms and then factor out common factors to simplify the expression.

Explanation:

Factors of x³ – 9x² + 5x – 45 by grouping:

Given expression: x³ – 9x² + 5x – 45

Group the terms in pairs: (x³ – 9x²) + (5x – 45)

Factor out common terms from each group: x²(x – 9) + 5(x – 9)

Common factor is x – 9, so the factored form is: (x² + 5)(x – 9)