Quiz about Algebra B: Adding, Subtracting, and Multiplying Polynomials

Question 1

Classify the following polynomial according to its terms:

4x² + 5x -7

Accepted Answer

Trinomial

Answer

Monomial

Answer

Binomial

Answer

Polynomial

Question 2

Classify the following polynomial according to its terms:

-3x² + 17

Accepted Answer

Binomial

Answer

Monomial

Answer

Trinomial

Answer

Polynomial

Question 3

Classify the following polynomial according to its terms:

5x¹¹

Accepted Answer

Monomial

Answer

Binomial

Answer

Trinomial

Answer

Polynomial

Question 4

True or False: The following is a polynomial:

2x⁴ + 3x³ - 5x² + x -12

Accepted Answer

True

Answer

False

Question 5

Determine the degree of the following polynomial:

x⁴- 9x + 1

Accepted Answer

4

Answer

1

Answer

5

Answer

-9

Question 6

Determine the degree of the following polynomial:

-2x²- x⁵ +2x - 5

Accepted Answer

5

Answer

2

Answer

7

Answer

8

Question 7

Determine the degree of the following polynomial:

-7xy³z²

Accepted Answer

6

Answer

1

Answer

3

Answer

2

Question 8

Classify the following polynomial according to its terms:

-x⁴ - 2x³+7x²- 6x +13

Accepted Answer

Polynomial

Answer

Monomial

Answer

Binomial

Answer

Trinomial

Question 9

Determine the leading coefficient of the following polynomial:

4x²+ 3x -2

Accepted Answer

4

Answer

-2

Answer

2

Answer

3

Question 10

Determine the leading coefficient of the following polynomial:

-8x - x³ +7x - 2

Accepted Answer

-1

Answer

-8

Answer

7

Answer

-2

Question 11

Which of the following polynomials is written in standard form?

Accepted Answer

x⁴ + 5x³ - 6x +1

Answer

9 + 8x - 2x²

Answer

10x + x³ - 4x² - 11

Answer

4x³+ 3x⁴ + 2x + 1

Question 12

Add the following polynomials:

(x³ + 6x - 5) + (-6x² + 4x + 3)

Accepted Answer

x³ - 6x² +10x - 2

Answer

x³ - 6x² +10x - 8

Answer

x³ - 6x² +10x + 2

Answer

x³ + 4x - 2

Question 13

Add the following polynomials:

(12x²+ 3x⁴ - 6x - 2) + (-3x⁴ + 5x + 9 - 7x²)

Accepted Answer

5x² - x + 7

Answer

6x⁴+ 5x² - x + 7

Answer

6x⁴+ 5x² - x + 11

Answer

5x² + 11x + 11

Question 14

Subtract the following polynomials:

(6x²+ 10x - 9) - (4x² - 13)

Accepted Answer

2x² + 10x + 4

Answer

2x² + 10x - 22

Answer

10x² + 10x - 22

Answer

2x² + 10x - 4

Question 15

Subtract the following polynomials:

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

Accepted Answer

2x³ - 6x - 5

Answer

2x³ - 6x + 11

Answer

2x³ - 10x²- 6x - 5

Answer

- 10x²- 6x - 5

Question 16

Multiply the following polynomial by the monomial:

3x(4x² - x - 3)

Accepted Answer

12x³- 3x²- 9x

Answer

12x²- 3x- 9

Answer

7x³- 3x²- 6x

Answer

12x³- 3x²- 6

Question 17

Multiply the following polynomial by the monomial:

-x³(2x³ - x²+ 5)

Accepted Answer

-2x⁶+ x⁵- 5x³

Answer

-2x⁹+ x⁶- 5x³

Answer

-2x⁶ - x⁵- 5x³

Answer

-2x⁶ - x⁵- 5

Question 18

Simplify the product.
2n(n² + 3n + 4)

Accepted Answer

2n³ + 6n² + 8n

Answer

2n³ + 3n + 4

Answer

2n³ + 6n + 8

Answer

n² + 5n + 4

Question 19

Simplify:

Accepted Answer

7n3 + 6

Answer

9n3 + 4n

Answer

-3n3 + 2

Answer

7n6 + 6

Question 20

Simplify:

Accepted Answer

-4x2 - 6x

Answer

-4x - 3

Answer

x2 - 3

Answer

-4x - 6

Algebra B: Adding, Subtracting, and Multiplying Polynomials

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