Worksheets — Set 4

Algebra II · Honors · Polynomial, rational, and radical functions

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

Warm-up

1. Expand: (x + 4)(x + 4) = ___ 2. Add: (8x² + 2x + 1) + (5x² − x + 4) = ___ 3. Factor: x² + 10x + 11 = (x + ___)(x + ___)

_See printable PDF for diagram._

Written practice

1. Expand: (x + 3)(x + 3) = ___ 2. Add: (7x² + 2x + 1) + (4x² − x + 4) = ___ 3. Factor: x² + 9x + 10 = (x + ___)(x + ___) 4. Divide: (x² − 8) ÷ (x − 3). Quotient? ___ 5. If p(6) = 0, is (x − 6) a factor? ___ 6. Simplify: (6x³)(−1x²) = ___ 7. Expand: (x + 3)(x + 4) = ___ 8. Add: (10x² + 2x + 1) + (7x² − x + 4) = ___

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More written practice

1. Factor: x² + 12x + 13 = (x + ___)(x + ___) 2. Divide: (x² − 11) ÷ (x − 3). Quotient? ___ 3. If p(9) = 0, is (x − 9) a factor? ___ 4. Simplify: (9x³)(−2x²) = ___ 5. Add: (13x² + 2x + 1) + (10x² − x + 4) = ___ 6. Factor: x² + 15x + 16 = (x + ___)(x + ___)

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Patterns and rules

1. Expand: (x + 2)(x + 4) = ___ 2. Add: (24x² + 2x + 1) + (21x² − x + 4) = ___ 3. Factor: x² + 26x + 27 = (x + ___)(x + ___)

_See printable PDF for diagram._

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Parent tip: Combine like terms before operating