Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Multiple Choice

What is the degree of this monomial: 

 $3x^7$  

• 3

• x

• 7

Multiple Choice

Add $\left(3x^2+4x-5\right)+\ \left(7x\ +5-2x^2\right)$  

•  $7x^{3\ }-5$  

•  $x^4+11x^2-5$  

•  $x^{2\ }+11x$  

•  $5x^2-3x-10$  

Multiple Choice

Subtract $\left(3x^2+4x-5\right)-\left(7x+5-2x^2\right)$ 

•  $x^2-3x-10$  

•  $5x^2+11x$  

•  $x^2+11x$  

•  $5x^2-3x-10$  

Let's try another addition problem

Remember that like terms have the same variables with the same exponents.

Multiple Choice

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1
• 2x³ + 1x² - 5x + 9
• 6x³ + 1x - 1x² - 3
• 3x⁵ +1x - 1x⁵ - 3x

Multiple Choice

True or False:

 $x^2+\left(5x+10\right)\ =\left(x^2+5x\right)+10$  

• True

• False

Multiple Choice

Total Population Growth: $3s^2+5s+5$  

Total Lionfish Speared:  $-s^2+s+5$  

To find the actual population growth, should we...

• Add these polynomials

• Subtract these polynomials

Multiple Choice

Subtract $\left(3s^2+5s+5\right)\ -\ \left(-s^2+s+5\right)$ 

•  $2s^2+6s+10$  

•  $4s^2+4s$  

•  $4s^2-4s+5$  

•  $2s^2+4s+10$  

Multiple Choice

Which of the following are examples of like terms?

• 2 and 2x

• y³ and x³

• y and x

• -3x and 3x

Multiple Choice

(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Multiple Choice

Find the difference.

(3- 2x + 2x²) - (4x -5 +3x²)

• x² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4