Quiz about Adding, Subtracting, and Multiplying Polynomials

Question 1

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

Accepted Answer

3y³+ 7y²- 4y + 3

Answer

4y² + 3y³ - y + 3

Answer

-y⁴ + 2y³-y - 4

Answer

4y³+ 3y²-3y + 1

Question 2

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

Accepted Answer

-8n² - 8n + 3

Answer

-7n² - 8n + 3

Answer

-6n²- 8n + 3

Answer

-7n² - 4n + 3

Question 3

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

Accepted Answer

-8n² - 8n + 3

Answer

-7n² - 8n + 3

Answer

-6n²- 8n + 3

Answer

-7n² - 4n + 3

Question 4

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

Accepted Answer

11x⁴ + 2x² + 14x

Answer

16x⁴ + x² + 14x

Answer

11x⁴ + x² + 14x

Answer

11x⁴ + 2x² + 10x

Question 5

How many terms are in the following polynomial?
3x³ - 2y + 8x -16

Accepted Answer

4

Answer

1

Answer

2

Answer

-16

Question 6

Which of the following are examples of like terms?

Accepted Answer

-3x and 3x

Answer

2 and 2x

Answer

y3 and x3

Answer

y and x

Question 7

What is the degree of this polynomial?
4xy² + 3x - 5

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 8

What is the correct name of the following:
3x + 5y² - 3

Accepted Answer

trinomial

Answer

monomial

Answer

binomial

Answer

polynomial

Question 9

What is the degree of this polynomial?
52a²bc - 2a³b² + 4

Accepted Answer

5

Answer

2

Answer

4

Answer

52

Question 10

When adding or subtracting polynomials we add / subtract the _____________________________.

Accepted Answer

Coefficients

Answer

Exponents

Answer

Polynomials

Answer

All of the above

Question 11

What is the standard form of the polynomial,
7x - 125 - 6x⁴ + 14x²

Accepted Answer

-6x⁴+ 14x² + 7x - 125

Answer

125 + 7x - 14x² +6x⁴

Answer

6x⁴ -14x² - 7x +125

Answer

125 + 14x² + 7x - 6x⁴

Question 12

(x - 5)(x + 1)

Accepted Answer

x² - 4x - 5

Answer

x² + 6x - 5

Answer

x² - 5x - 4

Answer

x² - 4x - 4

Question 13

(x - 4)(x - 6)

Accepted Answer

x² -10x + 24

Answer

x² - 10x - 24

Answer

x² +10x + 24

Answer

x² + 10x - 24

Question 14

(2x - 1)(x + 2)

Accepted Answer

2x² + 3x - 2

Answer

2x² - 5x - 2

Answer

2x² + 3x + 2

Answer

2x² - 5x + 2

Question 15

-5x⁶(3x² - 12x + 30)

Accepted Answer

-15x⁸+ 60x⁷- 150x⁶

Answer

15x⁸- 60x⁷- 150x⁶

Answer

8x⁶- 17x + 35

Answer

-8x⁶+ 17x - 35x²

Question 16

(5x+2)(x²-3x+6)

Accepted Answer

5x³ - 13x² + 24x +12

Answer

5x³- 17x²+24x +12

Answer

5x³+ 17x² - 24x +12

Answer

5x³ +13x² - 24x - 12

Question 17

(x+10)(x-10)

Accepted Answer

x2 - 100

Answer

x2 + 100

Answer

x² + 20x - 100

Answer

x² -20x + 100

Question 18

Classify the following polynomial according to its terms:

-3x² + 17

Accepted Answer

Binomial

Answer

Monomial

Answer

Trinomial

Answer

Polynomial

Question 19

True or False: The following is a polynomial:

5xy^-8

Accepted Answer

False

Answer

True

Question 20

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 21

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 22

Find the product.
(x + 7)²

Accepted Answer

x² + 14x + 49

Answer

x²+ 7x + 7x + 49

Answer

x²+ 7x + 7

Answer

7x²+ x + 7

Question 23

Multiply 7x²y³ (2x⁴y⁵+6xy³)

Accepted Answer

14x⁶y⁸+42x³y⁶

Answer

14x⁸y¹⁵+42x²y⁹

Answer

9x⁶y⁸+13x³y⁶

Answer

14x⁶y⁸+42x²y⁶

Question 24

(5x+2)(x²-3x+6)

Accepted Answer

5x³ - 13x² + 24x +12

Answer

5x³- 17x²+24x +12

Answer

5x³+ 17x² - 24x +12

Answer

5x³ +13x² - 24x - 12

Adding, Subtracting, and Multiplying Polynomials

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