Polynomial Review

Adding/Subtracting Polynomials

100

Write a simplified polynomial for (3x²+3x)+(x²+2x)

what is 4x²+5x

200

Write a simplified polynomial for 

(3x²+5x+6) + (2x²+6x+10)

what is 5x²+11x+16

300

What is a simplified polynomial for 

(7x²+10x+20) - (3x²+5x-2)

What is 4x²+5x+22

400

Write a simplified polynomial for 

(10x³+2x²+6x+10) - (6x³-5x²-10x+4)

what is 4x³+7x²+16x+6

500

Write a simplified polynomial for

(2x⁵+x²+3x+3) - (6-3x⁵-4x-x²)

what is 5x⁵+2x²+7x-3

Classifying Polynomials

100

What kind of polynomial is 3x+1 

what is a binomial 

200

What is the degree of 4x⁶+3x+6x⁷

What is the 7th degree?

300

Name the degree and the type of polynomial 

3x²+10+10x³

What is a third degree trinomial 

400

what is the degree and number of terms in the following polynomial 

3x⁴+3x+4x²+x⁵

What is the 5th degree and 4 terms?

500

Write the following polynomial in standard form. Then name the degree and number of terms: 

4x+x²+3x⁶+5+x⁴

3x⁶+x⁴+x²+4x+5

6th degree; 5 terms 

Monomial x Polynomial

100

7x(3x+3)

21x²+21x

200

5a(5a-6)

25a²-30a

300

7n²(6n-7)

42n³-49n²

400

5n(6n²+8n+2)

30n³+40n²+10n

500

8x²(6x²+6xy-6y²)

48x⁴+48x³y-48x²y²

Binomial x Polynomial

100

(4x-1)(6x-1)

24x²-10x+1

200

(3x-7)(8x-2)

24x²-62x+14

300

(7m+4n)(2m-2n)

14m²-6mn-8n²

400

(8b-1)(7b²-4b+2)

56b³-39b²+20b-2

500

(8b²-4b-8)(3b²-7b-8)

24b⁴-68b³-60b²+88b+64

Perimeter or area?

100

find the perimeter of a rectangle that has a a length of 6x+8 and a width of 4x-7 

20x+2

200

Find the perimeter of a square that has a side length of x+2

4x+8

300

Find the area of a rectangle with the length of (6x+8) and the width of (4x-7)

24x²-10x-56

400

Find the perimeter and area of a square with the side length of 3x-1

perimeter: 12x-4

Area: 9x²-6x+1

500

Find the perimeter and area of a rectangle that has a length of 2x+3 and a width of 2x+1 

Perimeter: 8x+8 

Area: 4x²+8x+3