💬 Polynomial Features: Mixed Practice & Reasoning (F-IF.C.7c)

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Graph polynomial functions, identifying zeros and end behavior. Read each problem. Draw or write to solve. Label your answer.

1. f(x) = (x + 3)(x − 5)(x − 3). Zeros? End behavior?

Work

Answer: ______________

2. f(x) = (x)(x + 1)(x + 1). Zeros? End behavior?

Work

Answer: ______________

3. f(x) = (x − 1)(x + 2)(x + 5). Zeros? End behavior?

Work

Answer: ______________

4. f(x) = −(x + 4)(x)(x + 2). Zeros? End behavior?

Work

Answer: ______________

5. f(x) = (x + 2)(x − 3)(x − 5). Zeros? End behavior?

Work

Answer: ______________

6. f(x) = −(x − 4)(x + 3)(x + 4). Zeros? End behavior?

Work

Answer: ______________

Answer key: 1) zeros -3, 3, 5; falls left, rises right · 2) zeros -1, 0; falls left, rises right · 3) zeros -5, -2, 1; falls left, rises right · 4) zeros -4, -2, 0; rises left, falls right · 5) zeros -2, 3, 5; falls left, rises right · 6) zeros -4, -3, 4; 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 — mixed practice with space to reason and check, 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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What age is it for?

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 A (F-IF.C.7c) · Polynomial Features: Practice B (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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