Worksheets — Set 9

Algebra II · Quadratic and polynomial functions

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. Expand: (x + 3)(x + 3) = ___ 2. Add: (13x² + 2x + 1) + (10x² − x + 4) = ___ 3. Factor: x² + 15x + 16 = (x + ___)(x + ___)

_See printable PDF for diagram._

Written practice

1. Expand: (x + 2)(x + 4) = ___ 2. Add: (12x² + 2x + 1) + (9x² − x + 4) = ___ 3. Factor: x² + 14x + 15 = (x + ___)(x + ___) 4. Divide: (x² − 13) ÷ (x − 2). Quotient? ___ 5. If p(11) = 0, is (x − 11) a factor? ___ 6. Simplify: (11x³)(−2x²) = ___ 7. Expand: (x + 2)(x + 3) = ___ 8. Add: (15x² + 2x + 1) + (12x² − x + 4) = ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Factor: x² + 17x + 18 = (x + ___)(x + ___) 2. Divide: (x² − 16) ÷ (x − 2). Quotient? ___ 3. If p(14) = 0, is (x − 14) a factor? ___ 4. Simplify: (14x³)(−1x²) = ___ 5. Add: (18x² + 2x + 1) + (15x² − x + 4) = ___ 6. Factor: x² + 20x + 21 = (x + ___)(x + ___)

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Expand: (x + 4)(x + 3) = ___ 2. Add: (29x² + 2x + 1) + (26x² − x + 4) = ___ 3. Factor: x² + 31x + 32 = (x + ___)(x + ___)

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Combine like terms before operating