Worksheets — Set 13

Algebra I · Honors · Polynomial operations

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

Warm-up

1. Expand: (x + 4)(x + 3) = ___ 2. Add: (17x² + 2x + 1) + (14x² − x + 4) = ___ 3. Factor: x² + 19x + 20 = (x + ___)(x + ___)

_See printable PDF for diagram._

Written practice

1. Expand: (x + 3)(x + 4) = ___ 2. Add: (16x² + 2x + 1) + (13x² − x + 4) = ___ 3. Factor: x² + 18x + 19 = (x + ___)(x + ___) 4. Divide: (x² − 17) ÷ (x − 3). Quotient? ___ 5. If p(15) = 0, is (x − 15) a factor? ___ 6. Simplify: (15x³)(−2x²) = ___ 7. Expand: (x + 3)(x + 3) = ___ 8. Add: (19x² + 2x + 1) + (16x² − x + 4) = ___

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More written practice

1. Factor: x² + 21x + 22 = (x + ___)(x + ___) 2. Divide: (x² − 20) ÷ (x − 3). Quotient? ___ 3. If p(18) = 0, is (x − 18) a factor? ___ 4. Simplify: (18x³)(−1x²) = ___ 5. Add: (22x² + 2x + 1) + (19x² − x + 4) = ___ 6. Factor: x² + 24x + 25 = (x + ___)(x + ___)

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Patterns and rules

1. Expand: (x + 2)(x + 3) = ___ 2. Add: (33x² + 2x + 1) + (30x² − x + 4) = ___ 3. Factor: x² + 35x + 36 = (x + ___)(x + ___)

_See printable PDF for diagram._

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Parent tip: Combine like terms before operating