Free Printable Polynomial Fluency Practice

1.

Factor x²-2x-15

a)

(x+5)(x-3)

b)

(x-5)(x-3)

c)

(x-5)(x+3)

d)

(x+5)(x+3)

2.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

3.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

4.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

5.

Factor
n² + 5n - 6

a)

(n - 2)(n - 3)

b)

(n - 1)(n + 6)

c)

(n + 1)(n - 6)

d)

(n + 2)(n - 3)

6.

Which is another way of correctly expressing
(x - 3)(x - 3)?

a)

(x² - 3²)

b)

(x² - 3)

c)

(x + 3)(x - 3)

d)

(x - 3)²

7.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

8.

Factor out the GCF:
12x + 6

a)

6(2x + 1)

b)

3(4x + 2)

c)

6x(2x + 1)

d)

2(6x + 3)

9.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

10.

Solve by factoring: 5x² + 13x + 6 = 0

a)

x = -2 and x = -3/5

b)

x = 2 and x = 3/5

c)

x = -2 and x = 3/5

d)

x = 2 and x = -3/5

11.

Factor completely:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

12.

Which is a zero of the graph?

a)

0

b)

-1

c)

1.5

d)

-3

13.

Name the x-intercept(s)?

a)

(0, 0)

b)

(2, 4)

c)

(0, 0) and (0, 4)

d)

(0, 0) and (4, 0)

14.

Which function has an x-intercept and y-intercept at (0, 0)?

a)

b)

c)

d)

15.

Which of the following is a factor of:

$3x^2+5x+2=0$

a)

$x=-1$

b)

$x=-\frac{2}{3}$

c)

$3x+2$

d)

$x-1$

16.

Which of the following is a factor of:

$2x^2+7x+6=0$

a)

$x=-2$

b)

$x=-\frac{3}{2}$

c)

$x-2$

d)

$2x+3$

17.

Which of the following is a factor of:

$5x^2-28x=-32$

a)

$x\ =\ 4$

b)

$x\ =\ \frac{8}{5}$

c)

$x-4$

d)

$8x-5$

18.

Find the roots/zeros of x² - 3x - 10

a)

-2, 5

b)

-5, 2

19.

Find the roots/zeros of x² - 2x - 24

a)

-6, 4

b)

-4, 6

20.

Find the roots/zeros of x² + 5x -14

a)

-2, 7

b)

-7, 2

21.

Factor x² + 5x -14

a)

(x + 2)(x - 7)

b)

(x - 2)(x + 7)

22.

Solve
x² + 2x - 24 = 0

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

23.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

24.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

25.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

26.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

27.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

28.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

29.

What is a, b, and c in 3x² + 4 = 5x?

a)

a = 3, b = -5, c = 4

b)

a = 3, b = 5, c = 4

c)

a = 3, b = 5, c = -4

d)

a = 3, b = -5, c = -4

30.

Find the axis of symmetry for
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

31.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

32.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

33.

The equation for the axis of symmetry line is x = -b/(2a)

a)

true

b)

false

34.

Given y=2(x+3)(x-7), find the vertex.

a)

(2, -50)

b)

(10, 50)

c)

(-2, -18)

d)

(4, -42)

35.

Find the vertex y = (x - 5)(x - 1)

a)

(5, 1)

b)

(-5, - 1)

c)

(3, -4)

d)

(-3, 32)

36.

What is the vertex of the function?

a)

(-3, -16)

b)

(3, 20)

c)

(-6, -7)

d)

(0, -7)

37.

Find the vertex y = (x - 5)(x - 1)

a)

(5, 1)

b)

(-5, - 1)

c)

(3, -4)

d)

(-3, 32)

38.

Find the zeros of the equation:
(x+10)(x-2) = 0

a)

10 and 2

b)

-2 and 10

c)

-10 and 2

d)

-2 and -10

39.

Which direction will this parabola open?

y=2x^2+8x-16

a)

upwards

b)

downwards

40.

What is the common monomial factor of $6x^3+3x^2-12x$ ?

a)

$3$

b)

$2x$

c)

$3x$

d)

$3x^2$

41.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

42.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

43.

Find the vertex of f(x)= -2x²-16x+3.

a)

(4, -93)

b)

(-4, 35)

c)

(-4,99)

d)

(8,3)

44.

What is an equation of a parabola with the vertex of $\left(3,-4\right)$ ?

a)

$y=-\frac{1}{2}\left(x+3\right)^2-4$

b)

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

c)

$y=\frac{3}{2}\left(x-3\right)^2-4$

d)

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

45.

What is an equation of a quadratic with x-intercepts at $\left(-1,0\right)$ and $\left(-10,0\right)$

a)

$y=-2\left(x+1\right)\left(x-10\right)$

b)

$y=\frac{1}{3}\left(x+1\right)\left(x+10\right)$

c)

$y=-\frac{1}{10}\left(x-1\right)\left(x+10\right)$

d)

$y=3\left(x-1\right)\left(x-10\right)$

46.

The parabola y = x² - 4x + 5 will have a vertex, write as a coordinate (x, y)

(a)

47.

$y=x^2+6x+4$ What are the coordinates of the vertex?

(a)

48.

Find the axis of symmetry for

f(x) = x²- 4x + 5.

a)

x = -2

b)

x = 2

c)

y = 2

d)

y = -2

e)

y= 2x +1

49.

What are the real roots (solutions) of the quadratic y = 2x²+4x+5

a)

(−1, 3)

b)

(0,5)

c)

(5,0)

d)

(3,-1)

e)

No real roots

50.

Convert to Vertex Form:

f(x) = x² +8x +14

a)

f(x) = (x - 4)² + 2

b)

f(x) = (x - 4)² - 2

c)

f(x) = (x + 4)² + 2

d)

f(x) = (x + 4)² - 2

51.

Convert to Standard Form:

f(x) = (x+7)(x-3)

a)

f(x) = x² +10x +21

b)

f(x) = x² -10x -21

c)

f(x) = x² +4x -21

d)

f(x) = x² +4x +21

52.

Convert to standard form: $y=\left(x+5\right)^2-15$

a)

$y=x^2+10$

b)

$y=x^2+10x\ +10$

c)

$y=x^2+25$

d)

$y=x^2+10x+25$

53.

Convert to standard form: $y=-2\left(x-3\right)^2+6$

a)

$y=-2x^2+12x-12$

b)

$y=-2x^2+6x+15$

c)

$y=-2x^2+12x-18$

d)

$y\ =\ -2x^2-12$

54.

Convert to vertex form: $y=x^2-12x+30$

a)

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

b)

$y=\left(x+6\right)^2-36$

c)

$y=\left(x-6\right)^2$

d)

$y=\left(x-6\right)^2-6$

55.

Convert to Factored Form

x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

56.

Convert to Factored Form:

x² - 10x + 24

a)

(x - 6)(x - 4)

b)

(x + 6)(x + 4)

c)

(x - 12)(x + 2)

d)

(x - 8)(x - 3)

57.

Convert to Vertex Form

y = x² - 6x + 10

a)

y = (x + 3)² - 1

b)

y = (x - 3)² + 1

c)

y = (x + 6)² - 10

d)

y = (x - 6)² + 10

58.

What is the vertex form of this quadratic?

a)

f(x) = -(x + 2)²- 4

b)

f(x) = (x - 2)²+ 4

c)

f(x) = (x - 2)²- 4

d)

f(x) = -(x - 2)² - 4

Polynomial Fluency Practice

Total questions: 58

Worksheet time: 2hrs 41mins

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