Sumner Polynomials #4

General Polynomials

100

The degree of this polynomial: 

x³-7x²+4x⁵-19x⁷

7th degree

200

Classify this polynomial:

2x³+3x-7

Cubic Trinomial

300

Classify:

10

Constant Monomial

400

True or False

Polynomials can have constants, variables and exponents

True

500

The degree of this polynomial

6x³-3x+12x⁵+x⁴

5th degree

Adding/Subtracting Polynomials

100

Add the following polynomials

(x²-3)+(3x²+7)

4x² + 4

200

Subtract the following polynomials

(a³-2a²)-(4a³+3a²)

-3a³- 5a²

300

Subtract the following polynomials

(4r³+3r⁴)-(-5r³+r⁴)

9r³ + 2r⁴

or 2r⁴ + 9r³

400

Add the following polynomials

(-9k³-3k² - 10)+(k³-7k +17)

-8k³ -3k² -7k +7

500

Subtract the following polynomials

(8n-3n⁴+10n²)-(3n²+11n⁴-7)

-14n⁴+ 7n² + 8n + 7

Multiplying Polynomials

100

Multiply the following polynomials

w²(w²+3)

w⁴ +3w²

200

Multiply the following polynomials 

r²(7r³-3r+9)

7r⁵ - 3r³ + 9r²

300

Multiply the following polynomials

(9m-3)(2m+3)

18m²+21m- 9

400

Multiply the following polynomials

(r - 5)²

r² - 10r + 25

500

Multiply the following polynomials

(t+4)(t²+6t-3)

t³ +10t²+21t -12

Factoring Polynomials

100

Factor the polynomial

15g³-35g

5g(3g² - 7)

200

Factor the polynomial

3g⁵+9g³-18g²

3g²(g³ + 3g - 6)

300

Factor the polynomial 

4x²- 18

2(2x² - 9)

400

Factor the polynomial

x²+5x-14

(x+7)(x-2)

500

Factor the polynomial

4x²+13x+10

(4x + 5)(x+2)

Solving Quadratics

100

x(3x+5) = 0

x = 0 or -5/3

200

x² - 8 = 28

x = 6 or -6

300

(5x-4)(3x+2) = 0

x = 4/5 or -2/3

400

x² - 4x - 21= 0 

x = 7 or -3

500

2x² + 9x +10 = 0

x = -5/2 or -2