📝 Binomial Theorem: Practice B (A-APR.C.5)

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Expand (x + y)ⁿ using the Binomial Theorem. Solve each problem.

1. Coefficient of x⁴ in (x + 3)⁶

2. Coefficient of x¹ in (x + 1)⁶

3. Coefficient of x¹ in (x + 2)³

4. Coefficient of x² in (x + 3)³

5. Coefficient of x³ in (x + 2)⁴

6. Coefficient of x¹ in (x + 1)³

7. Coefficient of x³ in (x + 1)⁴

8. Coefficient of x¹ in (x + 3)⁴

9. Coefficient of x⁵ in (x + 1)⁶

10. Coefficient of x¹ in (x + 3)⁶

11. Coefficient of x⁴ in (x + 2)⁵

12. Coefficient of x² in (x + 1)⁶

Answer key: 1) 135 · 2) 6 · 3) 12 · 4) 9 · 5) 8 · 6) 3 · 7) 4 · 8) 108 · 9) 6 · 10) 1,458 · 11) 10 · 12) 15

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Worksheets › Grade 12 Math (Precalculus & Statistics) › Binomial Theorem › Binomial Theorem

Grade 12 (ages 17–18)Numbers & mathsFree printable PDF

About this grade 12 worksheet

Free Grade 12 Precalculus & Statistics math worksheet (Common Core A-APR.C.5): binomial theorem — a second set of twelve practice problems, with answer key. Skill: Expand (x + y)ⁿ using the Binomial Theorem. Level: Grade 12 — also suits Year 13 (UK).

For teachers: skills & standards

CCSS A-APR.C.5: Expand (x + y)ⁿ using the Binomial Theorem
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?

Expand (x + y)ⁿ using the Binomial Theorem.

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More “Binomial Theorem” printables (a-apr.c.5: expand (x + y)ⁿ using the binomial theorem)

Binomial Theorem: Practice A (A-APR.C.5) · Binomial Theorem: Mixed Practice & Reasoning (A-APR.C.5) · Binomial Theorem: Show Your Thinking (A-APR.C.5) · Binomial Theorem: Quick Check (A-APR.C.5)

All 5 binomial theorem sheets → · Grade 12 Math (Precalculus & Statistics): all 10 skills → · All Common Core grades

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