Main Topics
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Common factor factoring (GCF)
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Factoring trinomials (x2+bx+cx^2 + bx + cx2+bx+c and ax2+bx+cax^2 + bx + cax2+bx+c)
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Difference of squares and perfect square trinomials
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Factoring by grouping and special patterns
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Solving polynomial equations using factoring
Key Skills
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Choose appropriate factoring strategies
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Connect factoring to zero product property to find roots
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Verify factored forms through expansion
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Recognize polynomial structure and pattern behavior
Unit 3 – Factoring Polynomials
Summary
Students investigate fractions whose numerators and denominators are polynomials. They learn to simplify, multiply, divide, add, and subtract rational expressions. This includes identifying restrictions on variables that make denominators zero. Students also solve rational equations, understanding where extraneous roots can appear. The unit builds logical reasoning and algebraic manipulation skills, showing how rational equations can model practical problems like rates and proportions.
Suggested Activities
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Factoring drills and pattern identification
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“Root hunt” activity using factored forms
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Quiz linking factoring to graph intercepts


