Polynomials

addition

100

(2x+1) + (3x+8) 

5x+9 

200

(4x+9)+ (7x-3) 

11x+6

300

(5p² − 3) + (2p² − 3p³ )

-3p³+7p²-3

400

(3x²-5x-1) + (2x²+3x+2)

5x²-2x+1

500

(6a³ + 12a² -15a) + (4a²-12a+8) 

6a³+16a²-27a+8

Subtraction

100

(x+5)-(x+6)

-1

200

(5x+65)-(100x+47) 

-95x+18

300

(x²+5)- (2x²-1)

-x²+6

400

(6x²-3x+4) - (-2x² +2x-2) 

8x²-5x+6

500

(-3x²+2)- (2x+4x³-5x²+3)

-4x³-2x

multiplication

100

(p-2)(p+10)

p²+8p-20

200

(2b+5)(b-1) 

2b²+4b-5

300

(3r-4)²

9r²-24r+16

400

4a²(5a+1) 

20a³ + 4a²

500

solve for x

-10x=-5(x+2)+10(3x+4)

x=2

classifying

100

What is the highest degree? x³+2x²-x+7

What is the degree named?

what is the leading coeficient?

Degree: 3

 cubic

LC:1

200

What is the highest degree? 5x+3x²+8

What is the degree named? 

what is the leading coefficient?

degree-2

 quadratic 

LC-3

300

Which one of these numbers is considered a monomial?

8a² or 8x-7y

8a²

400

Write this term in standard form 

6+10x³+5x+10x⁴+2x² 

10x⁴+10x³+2x²+5x+6

500

4x²+3x³+6x+7

What is the Leading Coefficient 

What is the degree 

What is the name 

Write it in standard form

LC: 3

degree:3 cubic
name: polynomial 

sf: 3x³+4x²+6x+7