Free Printable Math Analysis Unit 2 Review

1.

What is another way to say "where a function crosses the x-axis"?

a)

x-intercept

b)

zero

c)

root

d)

all of these.

2.

List the possible rational zeros of

f(x) = x³ - 4x² -4x + 16

a)

1, 2, 4, 8, 16

b)

$\pm1,\pm2,\pm4,\pm8,\pm16$

c)

$\pm1,\pm4,\pm\frac{1}{4}$

d)

-2 and-4

3.

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

a)

Use synthetic division and see if the quotient is even

b)

Ask the person sitting next to me

c)

Use synthetic division and see if the remainder is zero

d)

Flip a coin

4.

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

a)

3

b)

4

c)

5

d)

0

5.

(2x³ + 5x² + 9) ÷ (x + 3)

a)

2x² - x + 3

b)

2x³ - x² + 3x

c)

2x² + 11x + 33 + 108/x+3

d)

2x² - 5x + 12

6.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

7.

If 𝒙²+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?

a)

0

b)

-3

c)

9

d)

5

8.

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

9.

Is this division problem worked correctly?

a)

This is correct!

b)

This is incorrect!

10.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

a)

±1, ±7, ±1/3, ±7/3

b)

±1, 7

c)

±1, ±3, ±7, ±7/3

d)

±1, ±3, ±7, ±1/3, ±7/3

11.

b² would equal: y = 2x² -x -3

a)

2

b)

-1

c)

1

d)

-3

12.

b² - 4ac would equal: y = 2x² -x -3

a)

25

b)

-23

c)

-25

d)

0

13.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

14.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

15.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

16.

6x²-x-2=0

a)

x= -2/3, 1/2

b)

x= 2/3, -1/2

c)

x= -2/3, -1/2

17.

Solve by factoring.

x²+14x=0

a)

x=0, x= 14

b)

x=-14

c)

x= 1, x =10

d)

x= -14, x = 0

18.

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

a)

P(x) = x³+2x²+9x+11

b)

P(x) = x³-2x²+9x+18

c)

P(x) = x³+2x²+9x+18

d)

P(x) = x²-3ix+2x-6i

19.

Solve using the quadratic formula. f(x) = 2x²- 4x + 7

a)

$1\pm2i\ \sqrt[]{20}$

b)

$\frac{4\pm\sqrt[]{-40}}{4}$

c)

$\frac{2\pm i\ \sqrt[]{10}}{2}$

d)

$1\pm i\ \sqrt[]{10}$

20.

Use synthetic division: (3x³ + 5x - 1) ÷ (x + 1)

a)

3x³ - 3x² + 8x - 9

b)

3x² - 3x + 8 - 9/(x+1)

c)

3x² + 3x + 8 + 7/(x+1)

d)

3x³ + 3x² + 8x + 7

21.

Use long division: $\frac{4x^3+6x^2-10x+4}{2x-1}=$

a)

$2x^2+4x-3$

b)

$2x^2+4x+3$

c)

$2x^2+4x-3+\frac{1}{2x-1}$

d)

$2x^2+4x-3-\frac{1}{2x-1}$

22.

Simplify √-28

a)

-√28

b)

-2i√7

c)

2i√7

d)

28i

23.

Simplify √-25

a)

i√25

b)

5i

c)

-5i

d)

25i

24.

Simplify √-23

a)

-√23

b)

23i

c)

23

d)

i√23

25.

Which function has this end behavior?

*Be careful reading the infinity signs.

a)

-1x⁴-3x³+3

b)

-2x⁷+2x⁴+4

c)

3x⁸+3x⁵-4x+7

d)

4x⁵-4x⁴+2x³-9

26.

Which function has this end behavior?

*Be careful reading the infinity signs.

a)

-x²-3x+1

b)

-x³+2x²+3

c)

x⁴+3x³-4x+1

d)

x⁵-4x⁴+2x²-1

27.

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

a)

3, √5

b)

3, √5, -√5

c)

-3, √5, -√5

d)

-3, 5i, -5i

28.

Solve for x:

x² - 9x = - 20

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

29.

Find all zeros: y = 3x - 12

a)

x = 3 & x = 4

b)

x = 4

c)

x = -4

Math Analysis Unit 2 Review

Total questions: 29

Worksheet time: 2hrs 38mins

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