Polynomials Catch-Up

Polynomials Catch-Up

Reviewing addition, subtraction, and multiplication of polynomials.

Polynomials

• Monomial:  $3x^4$  

• Binomial:  $2x+5$  

• Trinomial: 

   $x^2+3x-2$  

Multiple Choice

Classify by number of terms:

5x² – 6x + 3

• Monomial

• Binomial

• Trinomial

• 4-Term Polynomial

Multiple Choice

Combine like terms to simplify:
 (5x + 2) + (4x + 5)

• 9x -7
• -9x-11
• 9x+7
• x+7

Multiple Choice

How many terms are in this polynomial?

2x³ - 8x² + 3x - 7

• 7

• 1

• 4

• 2

Multiple Choice

Simplify 13x² + 5x = 

• 18x²
• 65x³
• can't simplify because they are NOT like terms

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

Subtract:

(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Applications

• Perimeter: The distance around the exterior of the shape

• This basically means add up all the sides

• Pay attention to like terms!

Multiple Choice

• 7x + 5

• 24x + 4

• 9x + 5

• 9x² + 5

Multiple Choice

The dimensions of a rectangle are (4y² – y + 6) feet by (2y² + 3) feet. What is the perimeter of the rectangle?

• 12y² – 2y + 18 feet

• 6y² – y + 9 feet

• 2y² – 2y + 3 feet

• 12y² – y + 9 feet

Multiple Choice

The measure of the perimeter of a triangle is 37s + 42. It is known that two of the sides of the triangle have measures of 14s + 16 and 10s + 20. Find the length of the third side.

• 13s + 6

• 61s + 78

• 24s + 36

• 129s

Fill in the box!

Another method represented here.

Multiplying

• You may have learned FOIL from another teacher

• I focus on the BOX method

• It's based on the concept of area

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

(4a + 2)(6a² − a + 2)

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

Multiple Choice

A square has a side length of x + 4. What is the area of the square?

• x² + 16
• x² + 8x + 16
• 4x + 16
• x² - 8x + 16

Multiple Choice

What is the area for the given rectangle:

• 6x³ - 9x² + 10x - 15
• 6x² + 1x - 15
• 6x² + 4x + 4
• 6x³ + 1x² - 15x