Lesson 2-2 Adding, Subtracting and Multiplying Polynomials

Lesson 2-2 Adding, Subtracting and Multiplying Polynomials

Integrated 3

Mr. Gonzalez

Polynomial Operations

When ever you add, subtract and/or multiply a polynomial your final answer needs to be written in standard form. This means highest degree comes first the and rest of the terms follow in descending order.

Multiple Choice

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

• 5x - 9

• 5x - 1

• 11x - 1

• 11x - 9

• None of these

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

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x

• 2x³+6x²+9x

• -2x³-6x²+9x

• 2x³-6x²+9x

• None of these

Tip for Subtracting Polynomials

Whenever you are working with polynomial equations , you need to make sure you distribute any negative signs into the terms inside the parenthesis.

Multiple Choice

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

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

Multiple Choice

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

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

Multiple Choice

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

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

When multiplying use the generic rectangle to help you out.

Tip: Remember that (x+2)³=(x+2)(x+2)(x+2)

Multiple Choice

6v(2v + 3) 

• 12v+18
• 15v² + 8v
• 12v² + 18v
• 12v² + 18v²

Multiple Choice

(2n + 2)(6n + 1)

• 12n + 2
• 12n² + 2
• 12n² + 12n + 2
• 12n² + 14n + 2

Multiple Choice

Multiply
(x+5)²

• x²+25
• x²-25
• x²+10x+25
• x²-10x+25

Multiple Choice

(4a + 2)(6a² − a + 2)

• 24a³ + 16a² + 6a + 4
• 24a³ + 8a² + 10a + 4
• 24a³ + 8a² + 6a + 4
• 24a³ - 8a² - 6a + 4