Factoring Polynomials

Factoring

100

Factor using GCF

y³+9y²

y²(y+9) 

200

Factor into two binomials

x²+9x+20

(x+5)(x+4)

300

y²-8y+16

(y-4)²

400

Factor

x²-12x+11

(x-1)(x-11)

500

Factor

4x²-25x+6

(4x-1)(x-6)

a>1

100

2a² − 11a + 14

(2a - 7)(a − 2)

200

6x² - 7x - 3

(2x - 3) (3x + 1)

300

7x² - 20x - 3

(7x + 1)(x − 3)

400

8x² + 10x + 3

(4x + 3) (2x + 1)

500

6v² - 11v + 5

(6v - 5)(v − 1)

Difference of Perfect Squares

100

x^2-36

(x-6)(x+6)

200

4x²-25

(2x+5)(2x-5)

300

100y²-36x⁴

(10y+6x²)(10y-6x²)

400

81y⁶-16x⁸

(9y³+4x⁴)(9y³-4x⁴)

500

18x⁴-72

18(x²-2)(x²+2)

Trivia!

100

what does is mean when a polynomial is prime?

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree

200

What does it mean to factor a polynomial

Factoring polynomials involves breaking up a polynomial into simpler terms so when  the terms are multiplied together they equal the original polynomial.  

300

What are the five different factoring methods?

• Grouping

• difference of two squares

• Factoring quadratic trinomials when a=1 

• Factoring trinomials when a>1

• Finding the greatest common factor

400

15x²-18x-24

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

500

what is the inverse process of factoring polynomials

multiplying polynomials