Free Printable CRM 2.2 Practice Day

1.

Factor x² – 16.

a)

(x + 2)(x – 8)

b)

(x – 4)(x – 4)

c)

(x + 4)(x + 4)

d)

(x + 4)(x – 4)

2.

Factor 4y² – 9.

a)

(2y + 3)(2y – 3)

b)

prime

c)

(2y + 3)(2y + 3)

d)

(2y – 3)(2y – 3)

3.

Factor completely.

49x² + 16

a)

( 7x + 4 ) ( 7x - 4 )

b)

( 7x + 4 ) ( 7x + 4 )

c)

( 7x - 4i ) (7x - 4i)

d)

(7x + 4i ) ( 7x - 4i )

4.

Factor: x³+ 1

a)

(x + 1)³

b)

(x+1)(x²- x + 1)

c)

(x - 1) (x² + x - 1)

d)

(x + 1)(x² - 2x + 1)

5.

Factor: 8x³ - 1

a)

(2x - 1)(4x² + 2x + 1)

b)

(2x + 1)(4x² - 2x + 1)

c)

(2x - 1)(4x² - 2x - 1)

d)

(2x + 1)(4x² +2x + 1)

6.

Factor: 27x³ + 8

a)

(3x + 2)(9x² - 6x + 4)

b)

(9x + 2)(3x² + 18x + 4)

c)

(3x²+4)(9x + 2)

d)

(27x + 8)(x² - 216x + 64)

7.

Complete the formula
a³-b³=

a)

(a-b)(a²+ab+b²)

b)

(a+b)(a²-ab+b²)

c)

(a-b)(a²-ab+b²)

d)

(a+b)(a²+ab+b²)

8.

Complete the formula:

a³ + b³

a)

(a-b)(a²+ab+b²)

b)

(a+b)(a²-ab+b²)

c)

(a-b)(a²-ab+b²)

d)

(a+b)(a²+ab+b²)

9.

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF 27a³-729?

a)

FACTORING BY GCF

b)

DIFFERENCE OF TWO SQUARES

c)

DIFFERENCE OF TWO CUBES

d)

DIAMOND AND BOX METHOD

10.

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF 27X³-343?

a)

DIFFERENCE OF TWO CUBES

b)

DIFFERENCE OF TWO SQUARES

c)

FACTORING BY GCF

11.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

12.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

13.

What is the degree of the polynomial?

a)

2

b)

3

c)

4

d)

5

14.

What is the degree?

a)

Positive

b)

Negative

c)

Odd

d)

Even

15.

What is the degree?

a)

Positive

b)

Negative

c)

Odd

d)

Even

16.

What is the degree?

a)

Positive

b)

Negative

c)

Odd

d)

Even

17.

What is the degree?

a)

Positive

b)

Negative

c)

Even

d)

Odd

18.

What is the degree?

a)

Positive

b)

Negative

c)

Odd

d)

Even

19.

What is the leading coefficient?

a)

Positive

b)

Negative

c)

Odd

d)

Even

20.

What is the leading coefficient?

a)

Positive

b)

Negative

c)

Odd

d)

Even

21.

What is the leading coefficient?

a)

Positive

b)

Negative

c)

Odd

d)

Even

22.

What is the leading coefficient?

a)

Positive

b)

Negative

c)

Even

d)

Odd

23.

What is the leading coefficient?

a)

Positive

b)

Negative

c)

Odd

d)

Even

24.

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

a)

x= -4, x=3, x= -2

b)

x= -4, x=3, x=2

c)

x= -4, x=3, x=-2

d)

x=4, x= -3, x= -2

25.

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

a)

1

b)

2

c)

3

d)

4

26.

Identify the zeros:

a)

x=-2, x=-1, x=0

b)

x=-2, x=0

c)

x=-1, x=0, x=2

d)

x=-2, x=0, x=1

27.

The polynomial
f(x) = 5x⁴ + 2x³ + 2x − 7 can have, at most, how many solutions?

a)

5

b)

4

c)

3

d)

2

28.

a)

The function has an Even degree

b)

The function has a Negative coefficient

c)

The function has an Odd degree

d)

The function has 3 real zeros

29.

a)

Positive Odd

b)

Positive Even

c)

Negative Odd

d)

Negative Even

30.

a)

y=-(x+1)(x-2)(x-4)

b)

y=(x+1)²(x-3)(x-1)³

c)

y = 3x³ – 2x + 1

d)

y=(x+1)³(x-3)(x-1)²

31.

a)

A

b)

B

c)

C

d)

D

32.

Over the interval (−1, 2), the graph of the polynomial shown could be described as

a)

decreasing

b)

increasing

c)

quadratic

d)

complex

33.

Determine the y-intercept
f(x) = x³ - 5x² - 25x + 125

a)

(0,0)

b)

(0,25)

c)

(0,125)

d)

(0,5)

34.

What is the degree of the following polynomial?

y\ =\ \left(x-2\right)\left(x+4\right)^2\left(x+8\right)^4

a)

4

b)

6

c)

7

d)

2

35.

What is the degree of the following polynomial?

y\ =\ \left(x-3\right)^2\left(x+4\right)^4\left(6-x\right)^3

a)

5

b)

6

c)

7

d)

9

36.

What is the degree of the following polynomial?

y\ =\ 6x^3\left(x-3\right)\left(x+4\right)^4\left(6-x\right)^2

a)

9

b)

10

c)

11

d)

12

37.

What is the sign of the leading coefficient?

y=-3\left(x-5\right)\left(4-x\right)\left(x+3\right)^2

a)

Negative

b)

Positive

38.

What is the sign of the leading coefficient?

y=2\left(x-2\right)\left(4-x\right)\left(1-x\right)^2

a)

Negative

b)

Positive

39.

What are the roots of the following polynomial?

y=\left(x+4\right)\left(x-3\right)\left(x-8\right)

a)

4, -3, -8

b)

-4, -3, -8

c)

-4, 3, 8

d)

4, 3, 8

40.

Which root has the highest multiplicity?

y\ =\left(8-x\right)^2\left(x+1\right)\left(x-2\right)^3\left(x-1\right)

a)

8

b)

-1

c)

1

d)

2

41.

On which root will the graph "bounce"?

y\ =\ \left(x-3\right)^3\left(x+1\right)\left(4-x\right)^2\left(x-9\right)

a)

3

b)

-1

c)

4

d)

9

42.

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

a)

f(x) = (x-4)(x-1)²(x+2)(x+4)

b)

f(x) = (x-4)(x+1)²(x+2)(x+4)

c)

f(x) = (x-4)(x-1)²(x-2)(x+4)

d)

f(x) = (x+4)(x+1)²(x-2)(x-4)

43.

What does multiplicity of a zero mean?

a)

Look at the number of terms

b)

How many times the zero repeats

c)

Find the sum of all the coefficients

d)

Ratio your x and y

44.

Which of the following could be the equation of the graph in factored form?

a)

y=-(x+1)(x-2)(x-4)

b)

y=(x+1)²(x-2)
(x-4)³

c)

y = x(x+1)(x-2)
(x-4)

d)

y=(x+1)³(x-3)
(x-1)²

45.

Which of the following could be the factored form for the equation representing the graph shown?

a)

(x+3)(x-2)(x-5)

b)

(x-5)²(x-2)(x+3)

c)

(x-3)(x+2)(x+5)²

d)

none of these

46.

What is the Binomial expansion of (x + 1)⁵ ?

a)

x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

b)

x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

c)

x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

d)

x⁵ + 1

47.

Expand the expression.
(2x+5)⁴

a)

2x⁴ + 40x³+ 300x² + 1000x +625

b)

16x⁴+ 160x³ +600x² +1000x + 625

c)

16x⁴ + 1000x³ + 600x²+ 160x +625

48.

Find the 4th term in the expansion of (4x-3)⁵.

a)

5760

b)

-4320x²

c)

5760x³

d)

-4320

49.

Which row of Pascal's Triangle would you use to expand (x+y)³?

a)

1

b)

1 1

c)

1 2 1

d)

1 3 3 1

50.

Find the 2nd term in the expansion of
(2b + 1)³

a)

12b²

b)

6b

c)

8b³

d)

4b²

51.

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

52.

Add or Subtract to Simplify:
(x⁵ + x³) - (6x - x³ + 6x⁵)

a)

-5x⁵ + 2x³ - 6x

b)

7x⁵ - 6x

c)

-5x³ + 2x² - 6x

d)

-5x⁵ - 6x

53.

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

54.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x² +6y² + 6z²

b)

4x + y + 6z

c)

-4x² - y² + 6z²

d)

-4x + y + 6z

55.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

56.

Find the product.

(x - 2)²

a)

x²+ 2x + 2x + 4

b)

x²+ 2x + 2

c)

7x²+ x + 7

d)

x² - 4x + 4

57.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

58.

Find the area of a rectangle with length (x - 5) and width (3x + 1).

a)

3x²+16x-5

b)

3x²-14x+5

c)

3x²-14x-5

59.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

60.

Choose the correct answer below.

a)

$A=3x^2+9x-5$

b)

$A=5x^2-x+7$

c)

$A=3x^2-x+7$

d)

$A=5x^2+9x-5$

CRM 2.2 Practice Day

Total questions: 60

Worksheet time: 5hrs 45mins

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