Polynomials

Addition

100

(x³-2x+1) + (3x²+4x+5)

x³+3x²+2x+6

200

(2x²+4x-7) + (x²+6x+8)

3x²+10x+1

300

(x²-3xy+y²) + (2x²-5xy-y²)

3x²-8xy

400

(6x³-5x+1) + (2x³+3x-4)

8x³-2x-3

500

(7x³+4x²-x) + (3x³-4x+5) + (-8x³-x²+x-3)

2x³+3x²-4x+2

Subtraction

100

(2x²+3x+8) - (x²+4x-2)

x²-x+10

200

(6x³-5x+1) - (2x³+3x-4)

4x³-8x+5

300

(x²y+3y-4x) - (2x²y-7x)

-x²y+3y+3x

400

(19x³-5x+10) - (6x³+3x²+7x-8)

13x³-3x²-12x+18

500

(5x³-14x²) - (5x²+2x+1) - (-7x³+2x²-13)

12x³-21x²-2x+12

Multiplication

100

-6x(2x²+3x-11)

-12x³-18x²+66x

200

(2x-1)(x-5)

2x²-9x-5

300

(3y+7)(3y-7)

9y²-49

400

(y³+3)²

y⁶+6y³+9

500

(x-1/3)²

x²-2x/3+1/9

Monomial Division

100

(15y³-20y²+5y)/5y²

3y-4+1/y

200

(x³-6x²+2x)/3x

(x²/3)-2x+2/3

300

(8y³-16y²+24y)/8y

y²-2y+3

400

(110x⁴-121x³+11x²)/11x

10x³-11x²+x

500

(16y⁶-56y⁵-120y⁴+64y³)/16y³

y³-7y²/2-15y/2+4

Degree

100

What is the degree of the following?

5x²-3x+7

2nd Degree

200

What is the degree of the following?

x⁵+9x²-8x⁷+5

7th Degree

300

What type of polynomial is this?

-10y³

^{(Hint: Types of polynomials include linear. quadratic, and cubic)}

Cubic

400

What is the degree of the following?

2xy-8x³+21x²y³

5th Degree

500

What is the degree of the following?

x(x²+6x-1)

3rd Degree