✏️ Polynomial Features: Practice A (F-IF.C.7c)
Paginepagineapp.comGraph polynomial functions, identifying zeros and end behavior. Solve each problem.
1. f(x) = (x + 5)(x − 2)(x − 5). Zeros? End behavior?
2. f(x) = −(x + 4)(x)(x − 3). Zeros? End behavior?
3. f(x) = (x + 3)(x − 3)(x − 2). Zeros? End behavior?
4. f(x) = −(x − 2)(x − 1)(x − 2). Zeros? End behavior?
5. f(x) = (x − 1)(x − 2)(x − 1). Zeros? End behavior?
6. f(x) = −(x + 4)(x − 5)(x − 4). Zeros? End behavior?
7. f(x) = (x − 2)(x)(x − 1). Zeros? End behavior?
8. f(x) = −(x − 3)(x + 4)(x + 3). Zeros? End behavior?
9. f(x) = −(x + 3)(x + 3)(x + 1). Zeros? End behavior?
10. f(x) = −(x − 4)(x + 5)(x − 3). Zeros? End behavior?
11. f(x) = (x + 5)(x − 4)(x). Zeros? End behavior?
12. f(x) = −(x + 4)(x + 1)(x + 2). Zeros? End behavior?
Answer key: 1) zeros -5, 2, 5; falls left, rises right · 2) zeros -4, 0, 3; rises left, falls right · 3) zeros -3, 2, 3; falls left, rises right · 4) zeros 1, 2; rises left, falls right · 5) zeros 1, 2; falls left, rises right · 6) zeros -4, 4, 5; rises left, falls right · 7) zeros 0, 1, 2; falls left, rises right · 8) zeros -4, -3, 3; rises left, falls right · 9) zeros -3, -1; rises left, falls right · 10) zeros -5, 3, 4; rises left, falls right · 11) zeros -5, 0, 4; falls left, rises right · 12) zeros -4, -2, -1; rises left, falls right
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Worksheets › Grade 12 Math (Precalculus & Statistics) › Polynomial Features › Polynomial Features
Grade 12 (ages 17–18)Numbers & mathsFree printable PDF
About this grade 12 worksheet
Free Grade 12 Precalculus & Statistics math worksheet (Common Core F-IF.C.7c): polynomial features — twelve practice problems, with answer key. Skill: Graph polynomial functions, identifying zeros and end behavior. Level: Grade 12 — also suits Year 13 (UK).
For teachers: skills & standards
- CCSS F-IF.C.7c: Graph polynomial functions, identifying zeros and end behavior
- Works as a morning-work page, a centre/station activity, homework or an early-finisher task.
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It is designed for Grade 12 (ages 17–18), but use it with any child who is ready.
What skills does it build?
Graph polynomial functions, identifying zeros and end behavior.
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More “Polynomial Features” printables (f-if.c.7c: graph polynomial functions, identifying zeros and end behavior)
Polynomial Features: Practice B (F-IF.C.7c) · Polynomial Features: Mixed Practice & Reasoning (F-IF.C.7c) · Polynomial Features: Show Your Thinking (F-IF.C.7c) · Polynomial Features: Quick Check (F-IF.C.7c)
All 5 polynomial features sheets → · Grade 12 Math (Precalculus & Statistics): all 10 skills → · All Common Core grades
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