Quiz about Basic Polynomial Operations

Question 1

$$\left(4m^4-m^2\right)+\left(5m^2+m^4\right)$$
Simplify the expression and put in standard form.

Accepted Answer

$$5m^4+4m^2$$

Answer

$$4m^4+5m^2$$

Answer

$$4m^8+19m^6-5m^4$$

Answer

$$4m^2+5m^4$$

Question 2

$$\left(5x+x^4\right)-\left(3x^4+4x\right)$$
Simplify the expression and put in standard form.

Accepted Answer

$$-2x^4+x$$

Answer

$$2x^4+x$$

Answer

$$4x^4+9x$$

Answer

$$x-2x^4$$

Question 3

$$\left(5+7x^3+3x^2\right)+\left(-12+5x+6x^2\right)$$
Simplify the expression and put in standard form.

Accepted Answer

$$7x^3+9x^2+5x-7$$

Answer

$$7x^3+8x^2+5x-9$$

Answer

$$7x^3+9x^2+5x-5$$

Answer

$$9x^2+5x+7x^3-7$$

Question 4

$$\left(4+3x^2+8x^3\right)+\left(-7x^3+12x^5+6x^2\right)$$
Simplify the expression and put in standard form.

Accepted Answer

$$12x^5+x^3+9x^2+4$$

Answer

$$12x^5+2x^3+9x^2+4$$

Answer

$$4+9x^2+x^3+12x^5$$

Answer

$$-12x^5+15x^3-3x^2+4$$

Question 5

Question 5.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 6

Question 6.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 7

Perform the indicated operation. Write answer in descending order. ( 8x² - 12x + 6 ) + ( 7x³ + 8x - 15 )

Accepted Answer

7x³ + 8x² - 4x - 9

Answer

15x² - 4x - 9

Answer

7x³ + 8x² - 4x - 11

Answer

15x² - 4x - 11

Question 8

Question 8.

Accepted Answer

4x⁴- 9x²

Answer

-5x10

Answer

4x⁴+ 18x⁶

Answer

-6x⁴+ 16x²

Question 9

What is the perimeter of the triangle shown?

Accepted Answer

9r2+r-4

Answer

9r2+r-5

Answer

9r⁴+r²-4

Answer

9r2-r+4

Question 10

Simplify and then classify by degree and number of terms:
$$2x+3x^2\left(4x-5\right)$$

Accepted Answer

Cubic Trinomial

Answer

Quadratic 4-term Polynomial

Answer

Cubic 4-term Polynomial

Answer

Quartic Trinomial

Question 11

Find the product (5x + 8y) (3x - 4y)

Accepted Answer

$$15x^2+4xy-32y^2$$

Answer

$$15x^2+4x-32$$

Answer

$$15x^2-4xy-32y$$

Answer

$$15x^2-4xy-32y^2$$

Question 12

Find the product (2x + y) (5x - 8y)

Accepted Answer

$$10x^2-11xy-8y^2$$

Answer

$$10x^2+11xy-8y$$

Answer

$$10x^2-11x-8$$

Answer

$$10x^2+11xy-8y^2$$

Question 13

Add the polynomial (-3x + 4) + (8x - 5)

Accepted Answer

5x - 1

Answer

5x - 9

Answer

11x - 1

Answer

11x - 9

Answer

None of these

Question 14

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

Accepted Answer

-4x + y + 6z

Answer

-4x +6y + 6z

Answer

4x + y + 6z

Answer

-4x - y + 6z

Answer

None of these

Question 15

(4x³-5x²+3x)+(-2x³-x²+6x)

Accepted Answer

2x³-6x²+9x

Answer

2x³-6x²-9x

Answer

2x³+6x²+9x

Answer

-2x³-6x²+9x

Answer

None of these

Question 16

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

Accepted Answer

3x2 - x

Answer

4x2 + 2x

Answer

3x2 + 3x

Answer

3x2 + 2x

Question 17

Subtract the polynomials.

Accepted Answer

-x + 7y

Answer

-x + 3y

Answer

5x + 7y

Answer

7xy + 1xy

Basic Polynomial Operations

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