Solving Polynomial Equations

Solving Polynomial Equations

9th - 12th Grade

18 Qs

quiz-placeholder

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Solving Polynomial Equations

Solving Polynomial Equations

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
HSA.APR.B.2, HSA.APR.C.4, HSF-IF.C.7C

+5

Standards-aligned

Created by

Johnna Edwards

Used 721+ times

FREE Resource

About this resource

This quiz comprehensively covers polynomial equations and their solutions, targeting high school algebra students in grades 9-12. The content focuses on advanced polynomial manipulation techniques including factoring quadratic and cubic expressions, solving polynomial equations through various methods, and understanding the relationship between factors and zeros. Students need mastery of factoring strategies such as grouping, difference of squares, sum and difference of cubes, and the ability to recognize when polynomials can be factored versus when they are prime. The quiz also requires proficiency in synthetic division, polynomial long division, and the Remainder Theorem. Students must understand the connection between x-intercepts, zeros, and roots of functions, and be able to use given zeros to find complete factorizations of higher-degree polynomials. The mathematical reasoning demanded includes pattern recognition for special factoring cases, systematic application of algebraic procedures, and verification of solutions through substitution. Created by Johnna Edwards, a Mathematics teacher in US who teaches grade 9-12. This quiz serves as an excellent tool for formative assessment during a unit on polynomial functions, allowing teachers to gauge student understanding of multiple solution strategies before moving to more complex rational functions. The variety of question types makes it ideal for differentiated practice, where students can work through problems that build from basic factoring to more sophisticated applications involving synthetic division and the factor theorem. Teachers can use this as a review activity before unit tests, assign it as homework to reinforce classroom instruction, or implement it as a warm-up activity spread across several class periods. The quiz aligns with Common Core standards A-APR.2 (operations on polynomials), A-APR.3 (factor polynomials using structure), and A-REI.4 (solving quadratic equations), providing comprehensive coverage of polynomial manipulation skills essential for success in advanced algebra and pre-calculus courses.

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18 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Solve by Factoring:
x2 + 15x + 64 = 20

{-8, 2}
{-7, 5}
{-11, -4}
{-11}

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve by Factoring:  4x2 + 11x - 3 = 0

x = -3/4 and x = -1
x = 4 and x = 3
x = 1/4 and x = -3
x = -1/4 and x = 3

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor this difference of cubes:
x3 - 343

(x + 7) (x2 - 7x + 49)
(x2 + 1) (x - 343)
(x - 7) (x2 + 7x + 49)
(x2 - 343) (x + 1)

Tags

CCSS.HSA.APR.C.4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor:   x+ 1

(x + 1)3
(x+1)(x- x + 1)
(x - 1) (x2 + x - 1)
(x + 1)(x2 - 2x + 1)

Tags

CCSS.HSA.APR.C.4

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor by grouping:
4p³+8p²+3p+6

(2p²+3)(p+2)
(2p²+6)(p+4)
(4p²+3)(p+2)
(4p²+8p)(3p+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor by grouping:
30x3+15x2-18x-9

(5x2-3)(6x+1)
(5x2-3)(6x+3)
3(5x2+3)(2x-1)
3(5x2-3)(2x+1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What are the zeros of the function?

4,1
3,1,-2,-5
-3, -1, 2, 5
-2,4

Tags

CCSS.HSF-IF.C.7C

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