wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

PreCal Unit 3 Retest

Total questions: 19

Worksheet time: 37mins

Name
Class
Date
1.

Factor:

 x216x+48x^2-16x+48  

a)

(x-12)(x-4)

b)

(x+12)(x+4)

c)

(x-4)(x+8)

d)

(x+4)(x-8)

2.

Factor:

3x2+5x123x^2+5x-12

a)

(3x+4)(x-3)

b)

(3x-4)(3x+3)

c)

(3x-4)(x*3)

d)

(3x-4)(x+3)

3.

Select a Factor of the following Polynomial:

 3x3+10x2x123x^3+10x^2-x-12  

a)

(x-3)

b)

(x+1)

c)

(x-1)

d)

(x+2)

4.

List the actual rational zeros:

a)

7

b)

14

c)

±1,±2,±7,±14\pm1,\pm2,\pm7,\pm14

d)

-7

5.

List all the possible rational roots:

 x34x2+5x12x^3-4x^2+5x-12  

4 lines
6.

Find the roots of:

 x3x26xx^3-x^2-6x  



(a)  

7.

Solve:

 3x+10=x+4\sqrt{3x+10}=x+4  



(a)  

8.

Solve

(a)  

9.

Solve:

 x=2x4+2x=\sqrt{2x-4}+2  

a)

x=2, x=-2

b)

x=-2, x=-4

c)

x=2, x=4

d)

x=4, x=-4

10.

Find the roots of the function.

a)

x = 1, 3

b)

x = - 1, - 3, 1, 3

c)

x = -1, -3

d)

x =

,-\infty,\infty

11.

Find the roots of the function.

a)

x = - 1 ,1

b)

x = - 2, 2

c)

x =

 ,-\infty,\infty  

d)

x = 1

12.

This function 

 y = xy\ =\ \sqrt{x}  has shifted right 3 units and down 2 units.  What is the new function?

a)

 y = x+32y\ =\ \sqrt{x+3}-2  

b)

 y = x3+2y\ =\ \sqrt{x-3}+2  

c)

 y = x23y\ =\ \sqrt{x-2}-3  

d)

 y = x  32y\ =\ \sqrt{x\ -\ 3}-2  

13.

How many roos does the equation have?

 5x48x3+4x26x+35x^4-8x^3+4x^2-6x+3  



(a)  

14.

Find a polynomial function of degree 3 with zeros 3i and -2.

a)

x3+2x2+9x+11x^3+2x^2+9x+11

b)

x3+2x2+9x+18x^3+2x^2+9x+18

c)

x32x29x+18x^3-2x^2-9x+18

d)

x23ix+2x6ix^2-3ix+2x-6i

15.

Find the polynomial function having the zeros: 5, -3, 6

a)

x38x+3x8x^3-8x+3x-8

b)

x38x23x^3-8x^2-3

c)

x38x23x+90x^3-8x^2-3x+90

d)

x3+8x2+3x+90x^3+8x^2+3x+90

16.

Which polynomial function has the zeros -2, 1, 4?

a)

x3+3x26x8x^3+3x^2-6x-8

b)

x3+3x2+6x+8x^3+3x^2+6x+8

c)

x3+3x2+6x+8x^3+3x^2+6x+8

d)

x33x26x+8x^3-3x^2-6x+8

17.

What is the degree of the polynomial?

 2x33x2+4x102x^3-3x^2+4x-10  



(a)  

18.

What is the constant?

 2x33x2+4x102x^3-3x^2+4x-10  



(a)  

19.

What is the leading term?

 2x33x2+4x102x^3-3x^2+4x-10  

a)

 3x2-3x^2  

b)

 2x32x^3  

c)

4x

d)

-10