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)