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Factoring Polynomials Finding Zeros of Functions

Authored by Anthony Clark

Mathematics

11th Grade

15 Questions

CCSS covered

Factoring Polynomials Finding Zeros of Functions
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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find all the real zeros of the function 
f(x) = 2x3 - 19x2 + 38x + 24 given that x-4 is a factor.

x = 1/2, -6

x = -1/2, 6

x = 4, -1/2, 6

x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

2.

MULTIPLE CHOICE QUESTION

1 min • 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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor
x-16x + 48

(x - 12)(x - 4)

(x + 6)(x - 8)

(x + 12)(x - 4)

(x -16)(x - 3)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How could you determine    if x-2 is a factor of 2x³-5x²+x-2?

Use synthetic division and see if the quotient is even

Ask the person sitting next to me

Use synthetic division and see if the remainder is zero

Flip a coin

Tags

CCSS.HSA.APR.D.6

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor f(x)= x3 - 2x2-13x - 10  given that
(x - 5) is one factor.

(x- 5)(x - 1)(x - 2)

(x - 5)(x + 2)(x - 2)

(x - 5)(x + 2) (x + 1)

(x - 5)(2x - 13)

Tags

CCSS.HSA.APR.B.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find all zeroes given a factor of (x+3). f(x) = 2x3 + 5x2 - 6x - 9

-1,-3,-3

-1,-3,3/2

3,3,3

-3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find all solutions, one factor has been given. f(x) =x3-3x2-25x+75; (x-5)

5,-3,5

5,5,5

3,-5,5

1,1,1

Tags

CCSS.HSA.APR.B.2

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