factoring

How to factor trinomials (ax² +bx+c) where a>1

Find GCF if there is one

3x² + 17x + 10→ (3x + 2)(x + 5)OR

9x² + 24x + 16→ (3x + 4)² perfect square

Trial and error

How to factor GCF

28x + 48y→ 4(7x + 12y)

How to factor by grouping with 4 terms

1) find GCF if possible, np+3n+8p+24→ n(p+3)+8(p+3)→(p+3)(n+8)

2)find GCF if possible, -7x(3y+1)-(3y+1)→(3y+1)(-7x-1)

How to factor DIFFERENCE of squares

Find GCF if possible

Follow pattern→ a² -b² =(a+b)(a-b)

X² - 81→ (x +9) (x-9)

how to factor with Sum/difference of cubes

“A” and “b” are what’s being squared

Follow pattern →a³ - b³=(a-b)(a²+ ab + b²) OR

a³ + b³ =(a+b)(a² + ab + b²)

How to factor trinomials (ax² + bx + c) where a=1

Find GCF if possible

X² + 7x + 12→ (x + 3) (x+4)

Factors of 3rd term must add/subtract to 2nd term