Adding And Subtracting Polynomials

Adding

100

(3x+2)+(2x+4)

5x+6

200

(5x²+7)+ (5x²+9)

10x²+16

300

(x+6)(x²+1)

x²+x+7

400

(7.8x+2)+(3.2x+54)

11+56

500

(0.25x-2)+(1x-9)

1.25x-11

Subtracting

100

(4x+2)-(2x+1)

2x+1

200

(5x²+5)-(3x²+1)

2x²+4

300

(7x²+9x+98)-(7x²+9x+98)

0

400

(a³-2a²)-(3a²-2a³⁾

5a³-5a²

500

(7x²-12y+10)-(x²-45y+35)

6x²+33y-25

Simple

100

(3m+4m²-7)+(-5m-9+2m)

4m²-16

200

(8x²−1)+(4x²−3x)

12x²−3x−1

300

(8x²−1)−(4x²−3x)

4x²+3x−1

400

(3y²+5y-4)+(5y²-6y+9)

8y²-y+5

500

(3y²+5y-4)-(5y²-6y+9)

-2y²+11y-13

Hard

100

(−4k⁴ + 14 + 3k⁴) + (−3k⁴ − 14k² − 8)

−7k⁴− 11k² + 6

200

(3 − 6n⁵ − 8n⁴ ) − (−6n⁴ − 3n − 8n⁵)

2n⁵ − 2n⁴ + 3n + 3

300

(−x⁴ + 13x⁵ + 6x³ ) + (6x³ + 5x⁵ + 7x⁴ )

18x⁵ + 6x⁴ + 12x³

400

(13n² + 11n − 2n⁴ ) + (−13n² − 3n − 6n⁴ )

−8n⁴ + 8n

500

(−7x⁵ + 14 − 2x) + (10x⁴ + 7x + 5x⁵ )

−2x⁵ + 10x⁴ + 5x + 14

Definitions

100

Terms with the same variable and the same exponent

Like Terms

200

The numerical factor of a term

Coefficents

300

An expression consisting of variables and coefficients, with operations of addition, subtraction, and multiplication, but no division by a variable.

Polynomial

400

Terms that represent fixed numerical values

Constants

500

a letter that represents the unknown value in an expression

variable