Worksheets — Set 20
Algebra II · Honors · Polynomial, rational, and radical functions
Print and write your answers. Use diagrams to show thinking.
Warm-up
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._
Written practice
1. Expand: (x + 4)(x + 3) = ___ 2. Add: (23x² + 2x + 1) + (20x² − x + 4) = ___ 3. Factor: x² + 25x + 26 = (x + ___)(x + ___) 4. Divide: (x² − 24) ÷ (x − 4). Quotient? ___ 5. If p(22) = 0, is (x − 22) a factor? ___ 6. Simplify: (22x³)(−1x²) = ___ 7. Expand: (x + 4)(x + 4) = ___ 8. Add: (26x² + 2x + 1) + (23x² − x + 4) = ___
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More written practice
1. Factor: x² + 28x + 29 = (x + ___)(x + ___) 2. Divide: (x² − 27) ÷ (x − 4). Quotient? ___ 3. If p(25) = 0, is (x − 25) a factor? ___ 4. Simplify: (25x³)(−2x²) = ___ 5. Add: (29x² + 2x + 1) + (26x² − x + 4) = ___ 6. Factor: x² + 31x + 32 = (x + ___)(x + ___)
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Patterns and rules
1. Expand: (x + 3)(x + 4) = ___ 2. Add: (40x² + 2x + 1) + (37x² − x + 4) = ___ 3. Factor: x² + 42x + 43 = (x + ___)(x + ___)
_See printable PDF for diagram._
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Stretch
1. Expand: (x + 2)(x + 4) = ___ 2. Add: (48x² + 2x + 1) + (45x² − x + 4) = ___
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Parent tip: Combine like terms before operating