Polynomial Operations

Adding/subtracting Polynomials

100

(-8h² - 9h - 7) + (5h²+4h)

What is -3h² - 5h - 7

200

(-4w - 5) - (-7w + 2)

What is 3w - 7 ?

300

(7n - 9 + n³) + (-6n³+5n²+3)

What is -5n³+ 5n² + 7n - 6

400

(-y² + 5 + 4y) - (-9y² + 2)

What is 8y² + 4y +3 ?

500

(9 - 8x³ + 2x) - 3(4x - 2 +5x²)

What is -8x³ - 15x² - 10x + 15 ?

Multiplying Polynomials

100

(m - 4)(m +3)

What is m² -m -12 ?

200

(5j +1)(4 +j)

What is 5j² + 21j +4 ?

300

(x - 3)(x² - 8x +2)

What is x³ - 11x² +26x - 6 ?

400

(x - 5y)²

What is x² - 10xy + 25y² ?

500

(5x - 9)(x² +3x + 10)

What is 5x³ + 6x² +23x - 90 ?

Dividing Polynomials

100

(3x - 18) / (x - 6)

What is 3 ?

200

(5x² - 23x + 33) / (x² - 3x -1)

What is 5 + (-8x +38) / (x² - 3x - 1)

300

(4x² + 26x + 15) / (2x² + 2)

What is 2 + (26x+11) / (2x²+2)

400

(8 + 36x²) / (4x² + 5x)

What is 9 + (-45x + 8) / (4x² + 5x)

500

(24x² - 18x - 17) / (4x + 3)

What is 6x - 9 + (10) / (4x +3)

Roots of Polynomials

100

4t(t - 7) = 0

What are t=0, t=7 ?

200

(2 - 3d)(4 - 3d) = 0

What is d= 2/3 , d= 4/3 ?

300

(7m - 4)(m + 5)(m - 1) = 0

What are m=(4/7) , m= -5, m=1

400

4n² - 18n = 6n

What is n= 0 , n=6 ?

500

64z² - 16z = 0

What are z= 0 , z= (1/4)

Factoring polynomials

100

z² + 5z + 4

What is (z + 4)(z + 1) ?

200

x² + 2x - 63

What is (x - 7)(x + 9) ?

300

7k² - 91k + 84

What is 7(k - 12)(k - 1) ?

400

2z⁴ - 16z³ + 32z²

What is 2z²(z - 4)² ?

500

3z⁵ - 12z³

What is 3z³ (z +2)(z-2) ?