Quiz about Polynomial Operations

Question 1

Find the product:
(5n-8)(5n+8)

Accepted Answer

25n2-64

Answer

10n2

Answer

5n2+16

Answer

16

Question 2

Find the product:
(2x+3)²

Accepted Answer

4x2+12x+9

Answer

2x+3+2x+3

Answer

4x2+9

Answer

16x2+9

Question 3

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 4

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

Accepted Answer

-x²-6x + 8

Answer

x_² + 6x + 8

Answer

2x²+ 5x - 7

Answer

-2x² + 11x - 4

Question 5

Simplify the expression.
-3x²( 7x²- x + 4)

Accepted Answer

-21x⁴ + 3x³ -12x²

Answer

7x² - x + 4 (-3x²)

Answer

21x⁴+ 3x³+ 12x²

Answer

-12x²+ 3x³-21x⁴

Question 6

Multiply.
(b+3)(b²+2b+1)

Accepted Answer

b³+5b²+7b+3

Answer

b³+6b²+6b+3

Answer

4b³+8b²+3b

Answer

3b³+6b²+3b

Question 7

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

Accepted Answer

4x⁴- 9x³- 10x²- 24

Answer

4x⁴- 9x³ - 10x²- 2x - 24

Answer

4x⁴ - 9x³ - 10x² + 2x - 24

Answer

-4x⁴ - 9x³ - 10x² - 24

Question 8

What is the perimeter for the given rectangle:

Accepted Answer

6x² + 4x + 4

Answer

6x³ - 9x² + 10x - 15

Answer

6x² + 1x - 15

Answer

6x³ + 1x² - 15x

Question 9

(2x + 3)(x² + 4x + 1)

Accepted Answer

2x³ + 11x² + 14x + 3

Answer

2x³ + 10x² + 14x + 4

Answer

-2x³ - 11x² + 14x + 5

Answer

x³ - 11x² + 14x + 3

Question 10

What type of polynomial is
4x² - 21x + 5

Accepted Answer

Trinomial

Answer

Monomial

Answer

Binomial

Answer

Quadranomial

Question 11

Simplify the expression
(x - 3)²

Accepted Answer

x² - 6x + 9

Answer

x2 + 9

Answer

x² + 6x - 9

Answer

x² + 6x + 9

Question 12

4a(5a²- a + 4)

Accepted Answer

20a³- 4a²+ 16a

Answer

20a²- 5a + 8a

Answer

20a²+ 4a²+ 16a

Answer

20a³+3a² + 16a

Question 13

Question 13.

Accepted Answer

Trinomial

Answer

Monomial

Answer

Binomial

Answer

Polynomial

Question 14

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

Accepted Answer

-2x² + 11x -4

Answer

2x²+ 3x +1

Answer

-2x²- 11x -4

Answer

2x² + 5x -7

Question 15

What is the standard form of the polynomial?

9x² + 5x + 27 + 2x³

Accepted Answer

2x³ + 9x² + 5x + 27

Answer

27 + 5x + 9x² + 2x³

Answer

9x² + 5x + 2x³ + 27

Answer

9x² + 5x + 27 + 2x³

Question 16

Classify this polynomial by its degree and number of terms: x² + 2x + 6

Accepted Answer

Quadratic trinomial

Answer

Linear polynomial

Answer

Quadratic binomial

Answer

Cubic trinomial

Question 17

Classify this polynomial by its degree and number of terms: x² + 6

Accepted Answer

Quadratic binomial

Answer

Linear polynomial

Answer

Quadratic trinomial

Answer

Cubic binomial

Question 18

9x4

Accepted Answer

Quartic monomial

Answer

Quadratic polynomial

Answer

Quadratic monomial

Answer

Cubic monomial

Question 19

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

Accepted Answer

True

Answer

False

Question 20

The following polynomial is written in standard form:

x² - 10x+ 8x - 5

Accepted Answer

False

Answer

True

Question 21

What are the remaining factors for

(x³ +x² -17x +15) if (x -1) is a factor? (use synthetic division)

Accepted Answer

(x-1) (x+5) (x-3)

Answer

(x-1) (x+5) (x + 3)

Answer

(x+1) (x+5) (x-3)

Answer

(x+1) (x-5) (x-3)

Question 22

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

Accepted Answer

6   -4   0   3   1

Answer

3   0   -4   6   1

Answer

6   -4   3   1   0

Answer

-6   4   0   -3   -1

Question 23

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

Accepted Answer

Cam did not use a zero place holder for the x³ term.

Answer

Cam wrote the remainder incorrectly.

Answer

Cam added instead of subtracting the rows.

Answer

Cam should have used -2 as his division since the factor was x-2.

Question 24

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

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Polynomial Operations

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