Adding, Subtracting, & Multiplying Polynomials

Addition of Polynomials

100

(4x² + 2x) + (x² + 6x)

5x² +8x

200

(-3y² + y) + (4y² + 6y)

y² +7y

300

(2a² - 7a + 10) + (a² + 4a + 7)

3a² -3a +17

400

(2r² - 5r + 7) + (3r³ - 6r)

3r³ + 2r² -11r + 7

500

(5r³ - 6r² +3r) + (r² -2r - 3)

5r³ - 5r² + r - 3

Subtraction of Polynomials

100

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

200

(2x² + 5x - 3) - (3x³ + 2x - 5)

-3x³ + 2x² +3x + 2

300

(-3a² - 2a) - (4a² - 4)

-7a² - 2a + 4

400

(4x³ + 5x + 2) - (1 + 2x - 3x²)

4x³ + 3x² +3x + 1

500

(4 - x - 2x²) - (-2 + 3x - x³)

x³ - 2x² - 4x + 6

Multiplying Polynomials

100

(x + 4)(x - 2)

x² + 2x - 8 

200

(a + 3)(a − 2)

a² + 1a − 6

300

(4m + 2)(4m + 5)

16m² + 28m + 10

400

(5b − 6)(5b² + 4b − 2)

25b³ − 10b² − 34b + 12

500

What is (2a - 3)² ?

What is

4a² - 12a + 9

Classifying based on degree and number of terms

100

What do you call a polynomial with a degree of 2 and 3 terms called?

What is.....Quadratic Trinomial.

200

What is the classification of 6x⁴ − 3x ?

What is.....Quartic binomial.

300

What is the classification of 6x³ − 3x -1 ?

What is ....Cubic Trinomial.

400

What is the classification of 3x⁵ ?

What is Quintic monomial?

500

What is classification of 

a).       2x - 4

and

b).        7

What is 

a).    linear binomial

b)     constant monomial

Area and Perimeter

100

How do you find the perimeter of a rectangle?

What is you add all 4 sides.

200

What is the perimeter of a rectangle with 

length of 2x - 3 and width of  x+2?

What is  6x -2?

300

How do you find the area of a rectangle? 

What is you multiply length times the width.

Area = (length)(width)

400

What is the area of a rectangle whose 

width is 2x² - 3 and 

length is  3x³  - x² +5

What is 6x⁵ - 2x⁴ - 9x³ + 13x² - 15?

500

What is the area and perimeter of a rectangle whose length is 3x² + 6x -10 and width is 3x + 5?

Draw a picture of scenario to start

What is 

area        =      9x³ + 33x² - 50

perimeter =     6x² + 18x -10