FACTORING POLYNOMIALS

Factor by GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Factoring trinomials

100

Factor/ Factorizar : x² + 8x + 12

(x+6)(x+2)

200

Factor/ Factorizar

 m² - 11m + 18

(m - 9)(m - 2)

300

Factor/Factorizar:

 x² + 5x - 24

(x + 8)(x - 3)

400

Factor/Factorizar

2x² + 7x + 3

(2x+1)(x+3)

500

Factor/ Factorizar 

x² - 36x + 5

(7x - 1)(x - 5)

Quadratic FormulaFormula Cuadratica

100

What is the quadratic formula?

Que es la formula cuadratica?

x = 

200

Substitute the a, b and c in the quadratic formula  / Sustituye la a, b y c en la formula cuadratica. 

5x² + 26x + 5

x = 

300

Solve using the quadratic formula. Resolver usando la formula cuadratica.

 3x² - 10x + 7

x = 7/3 

x = 1

400

Solve using the quadratic formula. Resolver usando la formula cuadratica. 

2x² +3x+6 = 0

x = -3+ i square root (39) / 4

x = -3- i square root (39) / 4

500

Solve using the quadratic formula

Resolver usando la formula cuadratica

 x²+2x+3 = 0

x = -1 + isquare root(2)

x = - 1 - i square root (2)

Long Division

100

3x³ +2x - 5 divide by x-1

3x²+3x + 5

200

3x⁴ - 6x³ - 5x + 10 divde by x - 2

3x³ - 5 

300

3x⁴ + 5x² + 3 divide by x+ 2

 3x³ - 6x² + 7x - 14 + 31/ x+ 2

400

x⁴ - 12x³ +54x²- 108x + 81 divide by x-3

x³ -9x²+27x -27

500

4x³ -5x²+ 13 divide x+ 4

4x²- 21x + 84 - 323/x+4

Synthetic Division

100

x³ - 3x² - 11x + 5 divide by (x - 5)

x² + 2x - 1

200

^{x3 +6x2+ 7x+10 divide by (x+2)}

x² + 4x - 1 + 12/x+2 

300

4x² - 5 divide by (x - 1)

4x + 4 - 1/x-1

400

x⁵ + 1 divide by x + 1

x⁴ - x³ + x²- x + 1

500

x⁴+ x² divide by x - 2

x³ + 2x² + 5x + 10 + 20/x-2