Free Printable Polynomials Quiz

1.

Classify the polynomial: x² - 5x + 2

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Dab

2.

Classify by degree of polynomial:
3x³ – 6x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

3.

Classify by number of terms:
2x – 9

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

4.

Classify by number of terms:
3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

5.

Give the correct name for

3x

a)

Cubic Monomial

b)

Linear Binomial

c)

Linear Monomial

d)

Cubic Binomial

6.

Give the correct name for
2x³+5x

a)

Linear Binomial

b)

Cubic Binomial

c)

Quadratic Trinomial

d)

Linear Trinomial

7.

Give the correct name for
-3x⁴-3x²+5

a)

Constant Trinomial

b)

Quartic Trinomial

c)

quadratic Trinomial

d)

Linear Trinomial

8.

Give the correct name for
3x²+4x-7

a)

Quadratic trinomial

b)

linear binomial

c)

Quartic trinomail

d)

Linear Trinomail

9.

Classify the polynomial: x² - 5x + 2

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Dab

10.

Classify the following polynomial

a)

binomial polynomial

b)

quadratic binomial

c)

4th degree binomial

11.

Simplify: (x³+2x-6y) - (x²+6xy+6x)

a)

x⁵+x³-4xy

b)

x³-x²-6xy-4x-6y

c)

x⁴+4xy-5x-6y

d)

x³-x²+6xy-10x+6y

12.

Add to Simplify:
(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

13.

This polynomial: 3x²- 4x⁴ + 7x³ - 1 + 5x ,written in standard form would be

a)

3x²- 4x⁴ + 7x³ - 1 + 5x

b)

- 4x⁴ + 7x³ + 3x²+ 5x - 1

c)

- 1 + 5x + 3x²+ 7x³- 4x⁴

d)

7x³+ 5x- 4x⁴+ 3x² - 1

14.

Which of the following is a binomial?

a)

5x + 11

b)

x² + 3x + 6

c)

12x²y

d)

x² - 4x + 10

15.

(n - 9)(n² + 4n - 10)

a)

n³ - 5n² - 46n - 90

b)

n³ - 5n² - 46n + 90

c)

n³ + 13n² - 26n - 90

d)

n³ + 5n² + 46n + 90

16.

Solve using long division. $\left(x^2+2x\ -\ 63\right)\div\left(x+9\right)$

a)

$x-7$

b)

$x^2-7$

c)

$x+7$

d)

$x^2+3x-54$

17.

Which term must be inserted in the dividend before you begin long division?

$\left(2x^3+5x^2+9\right)\div\left(x+3\right)$

a)

$0x^4$

b)

$0x^3$

c)

$0x^2$

d)

$0x$

18.

The answer to a division question is called the. . .

a)

Divisor

b)

Multiplier

c)

Quotient

d)

Sum

19.

Classify 4x³+5x⁴-6

a)

Cubic trinomial

b)

Quintic trinomial

c)

Quartic trinomial

d)

Quartic binomial

20.

Classify 6x³-8x

a)

Quintic monomial

b)

Cubic binomial

c)

Cubic monomial

d)

Constant binomial

21.

x⁶- 4 =

a)

(x³+ 2)(x³ - 2)

b)

(x³+ 2)(x³ + 2)

c)

(x^{3 -} 2)(x³ - 2)

d)

None of the above

22.

(a - b)²= a² - b²

a)

True

b)

False; a² + b²

c)

False; a² + 2ab + b²

d)

False; a² -2ab + b²

23.

(2h² - k²)²

a)

4h⁴- 4h²k²+ k⁴

b)

4h⁴+ 4h²k²+ k⁴

c)

4h⁴+ k⁴

d)

4h⁴- k⁴

24.

Solve using long division. $\left(8x^2+6x-20\right)\div\left(4x-5\right)$

a)

$2x-4$

b)

$2x+4$

c)

$2x-1-\frac{16}{4x-5}$

d)

$2x-4-\frac{40}{4x-5}$

25.

Solve using long division $\left(2x^2+6x-20\right)\div\left(2x-4\right)$

a)

$x+5+\frac{2}{2x-4}$

b)

$x-8$

c)

$x-5+\frac{3}{2x-4}$

d)

$x+5$

26.

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

27.

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

a)

0

b)

1

c)

2

d)

3

28.

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

a)

0

b)

2

c)

4

d)

6

29.

Which term is missing in this problem?
2x³ + 5x² + 9 ÷
x + 3

a)

x⁴

b)

x³

c)

x²

d)

x

30.

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

31.

Is this division problem worked correctly?

a)

This is correct!

b)

This is incorrect!

32.

Which would be better to use here?

a)

Long division

b)

Synthetic division

33.

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

34.

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

a)

0

b)

2

c)

4

d)

6

35.

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.

36.

Divide using synthetic division
(2x³ + 4x² - 5) by (x + 3).

a)

2x² + 2x - 4 R(-12)

b)

2x² - 2x + 6 R(-23)

c)

2x² - 2x + 8 R(-20)

d)

2x² - 4x + 1 R0

37.

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

38.

Find the remainder
(2x³ - 5x - 7) / (x + 2)

a)

-9

b)

11

c)

-13

d)

-1

39.

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

40.

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

a)

-4x² +6y² + 6z²

b)

4x + y + 6z

c)

-4x² - y² + 6z²

d)

-4x + y + 6z

41.

What is the degree of the polynomial 3x⁴ + 2x² + 5x ?

a)

1

b)

2

c)

3

d)

4

42.

What is the correct name of the following:
3xy + 4x + 5y + 6

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

43.

When a polynomial is written in standard form, the coefficient of the first term is called the _____________.

a)

Boss coefficient

b)

Leading coefficient

c)

Best coefficient

d)

Greatest common coefficient

44.

The following polynomial is written in standard form:
7x³ - 11x² + 8x - 5

a)

True

b)

False

45.

Classify by degree of polynomial:
9x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

46.

Name and Classify the Polynomial:
x² − 4

a)

quadratic binomial

b)

quadratic monomial

c)

linear binomial

d)

linear monomial

47.

Add to Simplify:
(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

48.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

49.

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

a)

-5x⁵ + 2x³ - 6x

b)

7x⁵ - 6x

c)

-5x³ + 2x² - 6x

d)

-5x⁵ - 6x

50.

(x³-x²+4) - (3x³-2x²+3)

a)

-2x³-3x²+7

b)

-2x³+x²+1

c)

2x³-3x³-1

d)

4x³-3x²+7

Polynomials Quiz

Total questions: 50

Worksheet time: 3hrs 59mins

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