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) + (pr² -2r - 4p + 3)

5r³ - 6r² + pr² + 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

(y + 4 - x - 2x²) - (-2 + 3x - x³ + xy)

x³ - 2x² + xy +y - 4x + 6

Multiply Monomials

100

(6x²)(5x)

30x³

200

(x²yz)(x²y⁴)

x⁴y⁵z

300

(-2x²yz³)(-5xyz³)

10x³y²z⁶

400

2x(x + 6) 

2x² + 12x 

500

(x - 2)²

x² - 4x + 4 

Multiplying Polynomials

100

(x + 4)(x - 2)

x² + 2x - 8 

200

(a + 3)(a − 2)

a² + 1a − 6

300

(4m + 2)(4m - 2)

16m² - 4

400

(5b − 6)(5b 2 + 4b − 2)

25b³ − 10b² − 34b + 12

500

(-3x + 4y)³

-287x³ + 108x²y - 144xy² + 64y³

Classify Polynomials

100

Classify this polynomial by its terms

3x² + 2x - 9

trinomial

200

Classify this polynomial by its degree

7y³ + 10y² - y + 4

Cubic

300

Classify this polynomial by its terms and degree

-3x² + 4x - 7

Quadratic Trinomial

400

Classify this polynomial by its terms and degree

2x³y

Quartic monomial

500

Classify this polynomial by its terms and degree

-4x³ + x²y³ +5y - 1

polynomial degree 5 with 4 terms