A1 Adding/Subtracting/Multiplying Polynomials

Addition of Polynomials

100

(4x^2+2x) + (x^2+6x)

5x²+8x

200

(-3y^2+y) + (4y^2+6y)

y² +7y

300

(2a^2 - 7a + 10) + (a^2 + 4a + 7)

3a² -3a +17

400

(2r^2-5r+7)+(3r^3-6r)

3r^3 + 2r^2 -11r + 7

500

(5r^3-6r^2+3r) + (r^2-2r-3)

5r^3 - 5r^2 + r - 3

Subtraction of Polynomials

100

(y^2-10xy) - (2y^2+3xy)

-y^2-13xy

200

(2x^2 + 5x - 3) - (3x^3 + 2x - 5)

-3x³ + 2x² +3x + 2

300

(-3a^2-2a) - (4a^2-4)

-7a² - 2a + 4

400

(4x^3+5x+2) - (1+2x-3x^2)

4x³ + 3x² +3x + 1

500

(4-x-2x^2) - (-2+3x-x^3)

x³ - 2x² - 4x + 6

Multiply with Monomials

100

(6x²)(5x)

30x³

200

3(5 - x²)

15 - 3x²

300

(x²yz)(x²y⁴)

x⁴y⁵z

400

2x(x + 6) 

2x² + 12x 

500

-2x³ (3x² - 2x + 6)

-6x⁵  + 4x⁴ - 12x³

Multiplying Polynomials

100

(x + 4)(x - 2)

x² + 2x - 8 

200

(a + 3)(a − 2)

a² + a − 6

300

(4m + 2)(4m + 5)

16m² + 28m + 10

400

(5b−6)(5b²+4b−2)

25b³ − 10b² − 34b + 12

500

(8n^2+n−4)(6n^2−6n−4)

48n⁴ − 42n³ − 62n² + 20n + 16