Free Printable Pre-College Unit 2 Practice

1.

Classify by the DEGREE:
2x² - 5

a)

1

b)

2

c)

3

d)

4

2.

What is the degree of the polynomial 4x³ - 8x² - 2x - 1

a)

4

b)

3

c)

2

d)

1

3.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

4.

What is the standard form of the polynomial,
9x² + 5x + 27 + 2x³

a)

27 + 5x + 9x² + 2x³

b)

9x² + 5x + 2x³ + 27

c)

9x² + 5x + 27 + 2x³

d)

2x³ + 9x² + 5x + 27

5.

(2x³ - 3x² + 2x - 8) + (-6x³ + 5x² + 4x - 7)

a)

-4x³ + 2x² + 6x - 15

b)

-4x⁶ + 2x⁴ + 6x² - 15

c)

8x³ - 8x² - 2x - 1

d)

-4x³ + 2x² + 6x - 1

6.

(2x³ - 3x² + 2x - 8) - (-6x³ + 5x² + 4x - 7)

a)

-4x³ + 2x² + 6x - 15

b)

-4x³ +-8x² - 2x - 1

c)

8x³ - 8x² - 2x - 1

d)

8x³ - 8x² - 2x - 15

7.

What is the degree of the polynomial?

f\left(x\right)=9x^5-x^4+2x

a)

5

b)

9

c)

4

d)

1

8.

What is the degree of the polynomial?

f\left(x\right)=-x^3+x

a)

-1

b)

1

c)

0

d)

3

9.

What is the leading coefficient of the polynomial?

f\left(x\right)=4x^5-2x^2+8

a)

5

b)

4

c)

8

d)

-2

10.

What is the leading coefficient of the polynomial?

f\left(x\right)=x^4-x^3+3x

a)

1

b)

4

c)

0

d)

3

11.

The following polynomial should have what type of end behavior?

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

a)

Left: $\uparrow$ Right: $\downarrow$

b)

Left: $null$ Right: $\uparrow$

c)

Left: $\downarrow$ Right: undefined

d)

Left: $\downarrow$ Right: $\uparrow$

12.

The following polynomial should have what type of end behavior?

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

a)

Left: $\uparrow$ Right: $\downarrow$

b)

Left: $null$ Right: $\uparrow$

c)

Left: $\downarrow$ Right: undefined

d)

Left: $\downarrow$ Right: $\uparrow$

13.

List the zero(s) of the function

a)

0

b)

0, -1

c)

1

d)

-1

14.

List the zero(s) of the function

a)

-4, 2, 4

b)

-4, -1, 2, 4

c)

-1, 2, 4

d)

-1

15.

In the above graph complete the following end behavior:
As x --> +∞, f(x) --> ____
As x --> -∞, f(x) --> ____

a)

-∞

b)

+∞

-∞

c)

-∞

+∞

d)

+∞

16.

In the above graph complete the following end behavior:

As x --> +∞, f(x) --> ____

As x --> -∞, f(x) --> ____

a)

-∞

b)

+∞

-∞

c)

-∞

+∞

d)

+∞

17.

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

a)

x-intercept

b)

zero

c)

root

d)

all of these.

18.

The degree of the polynomial determines the max number of roots.

a)

True

b)

False

19.

f(x) = 2x³ - 3x² + 4x -10

What is the degree of f(x)?

a)

3

b)

2

c)

1

d)

0

20.

If you know 3 and 2i are roots of a polynomial function, state the polynomial factors.

a)

(x + 3) , (x + 2i)

b)

(x - 3), (x -2i), (x + 2i)

c)

(x - 3), (x + 3), (x - 2i), (x + 2i)

d)

(x -3 - 2i), (x + 3 - 2i)

21.

a)

(-2.55, 0), (2.55, 0)

b)

(-3, 0), (-2, 0), (2, 0), (3, 0)

c)

(0, 36)

d)

(0, -3), (0, -2), (0, 2), (0, 3)

22.

a)

y = ^_(x + 2)(x - 1)²

b)

y = -(x - 2)(x + 1)²

c)

y = (x - 2)(x + 1)²

d)

y = -x³

23.

Factor:

x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

24.

Factor:
x² - 10x + 24

a)

(x - 6)(x - 4)

b)

(x + 6)(x + 4)

c)

(x - 12)(x + 2)

d)

(x - 8)(x - 3)

25.

Factor:
x² - 10x - 24

a)

(x + 12)(x - 2)

b)

(x - 6)(x - 4)

c)

(x - 12)(x + 2)

d)

(x +6)(x - 4)

26.

Factor:
x² - 14x + 24

a)

(x - 8)(x - 3)

b)

(x - 12)(x - 2)

c)

(x - 6)(x - 4)

d)

(x - 24)(x - 1)

27.

Factor:
18b²-9b³

a)

9b²(18-9b)

b)

9b²(2-b)

c)

9b²(18-9b²)

d)

b²(2-b²)

28.

Factor (hint...take out the greatest common factor first)
2c² + 2c - 84

a)

(c-6)(2c+14)

b)

(c+7)(2c-12)

c)

(c-4)(2c+21)

d)

2(c+7)(c-6)

29.

Find the factors of 5x²+20x+20

a)

5(x+2)(x+2)

b)

5(x-2)(x-2)

c)

5(x+2)(x-2)

d)

(5x+2)(x+2)

30.

What is the factored form of 25x²-9

a)

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

b)

(x+5)(x-3)

c)

(x-3)(x+5)

d)

(5x+3)(3x+5)

31.

Factor:

5x³- 7x²

a)

x²(5x - 7)

b)

x(5x²- 7x)

c)

x³(5 - 7x)

d)

Prime

32.

What do the "Zeros" represent on a quadratic equation graph?

a)

x-intercepts

b)

y-intercepts

c)

vertex

d)

focus

33.

Factor:
x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

34.

Factor
n²-13n+40

a)

(n-5)(n-8)

b)

(n+5)(n-8)

c)

(n-5)(n+8)

d)

(n+6)(n+1)

35.

a)

x+7

b)

x+2

c)

X-10

d)

X-7

36.

Let
f(x) = 4x^2 -33x -27.
Is k = 9 a zero of the function?

a)

yes

b)

no

37.

Divide:

(4x² - 24x + 35) / (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

38.

For synthetic division, what would be the number in the left hand box?

a)

0

b)

1

c)

2

d)

3

39.

What is the proper way to write the answer for the following problem?

a)

2x³-x²-25x-12

b)

2x⁴-x³-25x²-12x+0

40.

Divide: $\frac{27x^3+64}{3x+4}$

a)

$27x^2-36x+48$

b)

$9x^2-12x+16$

c)

$27x^2+28x$

d)

$27x^2+28$

41.

Divide: $\frac{3x^3-4x^2-9x+10}{x-2}$

a)

$3x^2+2x-5$

b)

$3x^3+2x^2-5x$

c)

$3x^2-10x^{ }-29-\frac{48}{x-2}$

d)

$3x^2-10x-29+\frac{48}{x-2}$

42.

Divide: $\frac{x^3-12x^2+47x-60}{x-3}$

a)

$x^2-9x+20$

b)

$x^3-9x^2+20x$

c)

$x^2-15x+92+\frac{216}{x-3}$

d)

$x^2+9x+20$

43.

Divide: $\frac{x^4+2x^3+2x+4}{x+2}$

a)

$x^3+2x^2$

b)

$x^3+2$

c)

$x^3+4x^2+8x+18+\frac{42}{x+2}$

d)

$x^3+4x^2+10x+24$

44.

Divide: $\frac{2x^4-9x^3+21x^2-26x+12}{2x-3}$

a)

$x^3-3x^2+6x-4$

b)

$2x^3-6x^2+12x-8$

c)

$x^4-3x^3+6x^2-4x$

d)

$2x^4-6x^3+12x^2-8x^{ }$

45.

Solve for the intersection of the quadratic polynomials y = x^2 + 2x - 3 and y = 2x^2 - 5x + 1.

a)

x = -2, x = 4

b)

x = -3, x = 2

c)

x = -1, x = 3

d)

x = 0, x = 1

46.

What is the intersection point of the linear polynomials y = 2x + 3 and y = -3x + 5?

a)

The intersection point is (0, 0)

b)

The intersection point is (3, 2)

c)

The intersection point is (1, 5)

d)

The intersection point is (-5, 3)

47.

Which of the following represents the graphical intersection of two linear polynomials?

a)

A point or a set of points

b)

A vertical line

c)

A parabola

d)

A circle

48.

Find the intersection point of the linear polynomials y = 3x - 2 and y = 5x + 1.

a)

The intersection point is (7, 11)

b)

The intersection point is (5, 9)

c)

The intersection point is (2, 4)

d)

The intersection point is (3, 7)

49.

If two linear polynomials intersect at (4, 7), what are the equations of the polynomials?

a)

y = 5x - 2 and y = -4x + 9

b)

y = 3x + 2 and y = -5x + 12

c)

y = 4x + 3 and y = -2x + 5

d)

y = 2x - 1 and y = -3x + 19

50.

Solve for the intersection of the quadratic polynomials y = 2x^2 + 3x - 1 and y = x^2 - 4x + 4.

a)

x = 5, x = 6

b)

x = -1, x = 2

c)

x = -2, x = 3

d)

x = 0, x = 1

51.

Find the intersection point of the linear polynomials y = 4x - 1 and y = -2x + 7.

a)

(4, 6)

b)

(3, 5)

c)

(2, 3)

d)

(1, 2)

52.

What is the leading coefficient?

a)

Positive

b)

Negative

c)

Odd

d)

Even

53.

f(x)= x²(x – 2)³(x – 7)

Find and select each real zero and its multiplicity

a)

0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)

b)

2 (Mult of 3), 7 (mult 1)

c)

0, 2, 7

d)

2 (mult of 2), 7 (mult of 3)

54.

What is the leading coefficient?

a)

Positive

b)

Negative

55.

In the above graph, which root has a multiplicity of 2?

a)

-1

b)

-3

c)

-120

d)

4

56.

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

a)

5

b)

4

c)

3

d)

2

57.

What is the correct graph of the function?

a)

b)

c)

d)

58.

What is the correct graph of the function?

a)

b)

c)

d)

Pre-College Unit 2 Practice

Total questions: 58

Worksheet time: 4hrs 25mins

Similar Resources on Wayground