Understanding zeroes and factors of polynomials

Understanding zeroes and factors of polynomials

9th - 12th Grade

20 Qs

quiz-placeholder

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Understanding zeroes and factors of polynomials

Understanding zeroes and factors of polynomials

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

CCSS
HSA.APR.B.2

Standards-aligned

Created by

Wayground Content

FREE Resource

20 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

5 mins • 2 pts

What are the factors of x^3 + 8x^2 + 11x - 20

(x - 4)

(x + 4)

(x - 1)

(x + 5)

(x + 1)

Tags

CCSS.HSA.APR.B.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If α\alpha and  β\beta are the zeroes of a polynomial, such that  α+β=6\alpha+\beta=6 and  αβ=4\alpha\beta=4 , then write the polynomial 

 x26x+4x^2-6x+4  

 x26x4x^2-6x-4  

 x2+6x+4x^2+6x+4  

 x2+6x4x^2+6x-4  

Tags

CCSS.HSA.APR.B.2

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the total factorization of f(x), given that (x+3) is a factor of

f(x) = 2x3+5x2-6x-9

(x+1)(x+3)(x+3)

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

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

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

Tags

CCSS.HSA.APR.B.2

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Factor:

x3 - 12x2 + 47x - 60 = 0 when 5 is a root.

(x-3)(x-4)(x-5)=0

(x+1)(x-4)(x-5)=0

(x-3)(x-4)(2x-5)=0

(x-5)(x-4)(x-5)=0

Tags

CCSS.HSA.APR.B.2

5.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Tags

CCSS.HSA.APR.B.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Answer explanation

Tags

CCSS.HSA.APR.B.2

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Use synthetic division to find all the zeros of f(x) = 2x3+5x2-6x-9, given that f(-3) = 0. YOU MUST SUBMIT A PICTURE OF YOUR WORK FOR FULL CREDIT.

-1,-3,-3

-1,-3,3/2

3,3,3

-3,2/3,-1

Tags

CCSS.HSA.APR.B.2

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