Topic 2 Sections 1-3

Poll

Which of the following are NOT examples of polynomials:

• $$9x^2+2$$  

• $$10x^5-x^2+x^{-1}$$  

• $$\frac{2x}{x^2}$$  

• $$3$$  

Fill in the Blank

A polynomial with degree 2 and 4 terms is called:

Fill in the Blank

If a polynomial has a degree of 4 and 2 terms it is called a:

Fill in the Blank

Having a degree of 2 is called:

Fill in the Blank

If it has three terms it's called a:

Multiple Choice

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

• 5x - 9

• 5x - 1

• 11x - 1

• 11x - 9

• None of these

Multiple Choice

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

• 3x² - x
• 4x² + 2x
• 3x² + 3x
• 3x² + 2x

Multiple Choice

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

• -4x +6y + 6z

• 4x + y + 6z

• -4x - y + 6z

• -4x + y + 6z

• None of these

Multiple Choice

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x

• 2x³+6x²+9x

• -2x³-6x²+9x

• 2x³-6x²+9x

• None of these

Multiple Choice

Add the following polynomials:

(x³-2x²+3)+(2x³+3x²-1)

• 3x³-2x²+3x+2

• 3x³+x²+2

• 3x³-5x²-2

• 3x³-x²+1

• None of these

Open Ended

What is $$\left(x+4\right)\left(x-2\right)$$  

Multiple Choice

Add the following polynomials

(x³-6x²+3)+(3x³+4x-1)

• 4x³-2x²+2

• 4x³-6x²+4x+2

• -2x³+2x+2

• 4x³-2x²-2

• None of these

Open Ended

What is  $$\left(2x-4\right)\left(-2x+7\right)$$  

Multiple Choice

Which is an example of a cubic binomial?

• x³+5

• x²+3

• x²+5x-6

• 5x³

Open Ended

What is  $$\left(3x^2+2\right)^2$$  

Multiple Choice

Classify by number of terms:

3x² – 8x + 1

• Monomial

• Binomial

• Trinomial

• 4-Term Polynomial

• Constant

Multiple Choice

Simplify:
5(3x+2)

• 3x+10
• 15x+10
• 15x-10
• 3x-10

Multiple Choice

Simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7

• 5a³ - 4a² - 14a - 7

• 5a³ - 4a² - 20a - 7

• 5a³ - 9a² - 20a - 7

Multiple Choice

Multiply.
(x + 2)(x + 3)

• x² + 5x + 6
• x² + x + 6
• x² + 5x + 5
• x² + 6x + 6

Multiple Choice

(3x²+xy-5y²) + (2x²-xy+3y²)

• 5x²-2xy+8y²

• 5x²-2y²

• 5x²+2y²

• 5x²+2xy-8y²

• None of these

Multiple Choice

Simplify:
2x ( -2x -3)

• -4x - 3
• x² - 3
• -4x² - 6x
• -4x - 6

Multiple Choice

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

• -4x² +6y² + 6z²

• 4x + y + 6z

• -4x² - y² + 6z²

• -4x + y + 6z

• None of these

Multiple Choice

Simplify:
2x (-2x - 3)

• -4x - 3
• x² - 3
• -4x² - 6x
• -4x - 6

Multiple Choice

Add the polynomials.

(2xy - 3x² + 4y - 5) + (-3xy + 4y² - 3y + 8)

• -1xy - 3x² + 4y² + 1y + 3

• -1xy + 1x² + 1y + 3

• -1xy + 1y² + 1y + 3

• 1xy + 3x² + 4y² + 1y + 3

• None of these

Multiple Choice

(x +2)(x + 3)

• x² + 5x + 6
• x² + x + 6
• x² + 5x + 5
• x² + 6x + 6

Multiple Choice

Find the sum.

(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3

• 4y² + 3y³ - y + 3

• -y⁴ + 2y³ -y - 4

• 4y³ + 3y² -3y + 1

• None of these

Multiple Choice

Find the product.

(x - 2)²

• x² + 2x + 2x + 4

• x² + 2x + 2

• 7x² + x + 7

• x² - 4x + 4

Multiple Choice

What is the correct name of the following:

3xy + 4x + 5y + 6

• monomial

• binomial

• trinomial

• polynomial

• Constant

Multiple Choice

(x + 5)(x + 4)

• x² + x + 20
• x² + 20x + 9
• x² + 9x + 20
• x² - 9x + 54

Multiple Choice

Name and Classify the Polynomial:
x² − 4

• quadratic binomial
• quadratic monomial
• linear binomial
• linear monomial

Multiple Choice

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12
• 5x³ + 17x² - 24x +12
• 5x³ - 13x² + 24x +12
• 5x³ +13x² - 24x - 12

Multiple Choice

Name and Classify the Polynomial:

2x² + 3x − 8

• quadratic binomial

• quadratic trinomial

• linear binomial

• linear monomial

Multiple Choice

(x + 7)(x + 9)

• x² + 63x + 16
• x² + 16x + 63
• x² + 79
• x² + 16x + 2

Multiple Choice

Find the area of a rectangle with length (x - 5) and width (3x + 1).

• 3x²+16x-5
• 3x²-14x+5
• 3x²-14x-5

Multiple Choice

(x - 5)(x + 1)

• x² - 4x - 5
• x² + 6x - 5
• x² - 5x - 4
• x² - 4x - 4

Multiple Choice

5xy(6x-y)

• 11x² - y²
• 30x² + y²
• 30x²y - 5xy²
• 11x²y + 5x²y²

Multiple Choice

(x - 3)(x +10)

• x² - 7x + 13
• x² - 6x - 30
• x² + 7x - 30
• x² + 13x + 30

Multiple Choice

(5x-1)(x+1)

• 5x² + 4x - 1
• 5x²+6x - 1
• 5x² - 4x -1
• 5x² + 4x + 1

Multiple Choice

(x + 7)(x - 2)

• x² - 5x + 5
• x² - 9x - 14
• x² - 5x - 14
• x² + 5x - 14

Multiple Choice

(3x − 6)(7x + 7)

• 21x² − 63x + 42
• 21x² − 21x − 42
• 21x² − 42
• 21x² + 63x + 42

Multiple Choice

(x - 4)(x - 6)

• x² -10x + 24
• x² - 10x - 24
• x² +10x + 24
• x² + 10x - 24

Multiple Choice

Choose the correct answer below.

• $$A=3x^2+9x-5$$

• $$A=5x^2-x+7$$

• $$A=3x^2-x+7$$

• $$A=5x^2+9x-5$$

Multiple Choice

(2x - 1)(x + 2)

• 2x² + 3x - 2
• 2x² - 5x - 2
• 2x² + 3x + 2
• 2x² - 5x + 2

Multiple Choice

Find the volume of the rectangular prism with length ( x + 2) width ( x - 4) and height ( 2x + 1).  (HINT: V = lwh)

• x² -8x
• x² -2x -8
• 2x³-3x² -18x-8
• 2x³ -8

Multiple Choice

Multiply  7x²y³ (2x⁴y⁵+6xy³)

• 14x⁸y¹⁵+42x²y⁹
• 9x⁶y⁸+13x³y⁶
• 14x⁶y⁸+42x³y⁶
• 14x⁶y⁸+42x²y⁶

Multiple Choice

(5c-2)(3c²-5c+4)

• 15c³-31c⁴+30c²-8
• 15c³-19c²+10c-8
• 15c³-31c²+30c-8
• 15c³-31c²+30c+8

Multiple Choice

(4x+1)(5x−2)

• 20x² + 3x − 2
• 20x² − 11x + 5
• 20x² − 18x + 2
• 20x² − 3x − 2

Multiple Choice

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12
• 5x³ + 17x² - 24x +12
• 5x³ - 13x² + 24x +12
• 5x³ +13x² - 24x - 12

Multiple Choice

(3x − 6)(7x + 7)

• 21x² − 63x + 42
• 21x² − 21x − 42
• 21x² − 42
• 21x² + 63x + 42

Multiple Choice

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

• 2x² + 3x +1
• -2x² - 11x -4
• 2x² + 5x -7
• -2x² + 11x -4

Multiple Choice

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

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Multiple Choice

Simplify: (3x⁴ + 2x - 4x²) + (5x² - 8x + 6x⁴)

•  9x⁴ + 10x + 9x²
• 9x⁴ + x² - 6x
•  3x⁴ + 9x² + 6x
• 3x⁴ - 6x + x²