Quadratic
How would you factor 2x2+9x+4?
(2x+1)(x+4)
Explanation:
2*4=8
What two multiples of 8 add to 9?
8 and 1
2*4=8
1*1=1
(2x+1)(x+4) The number in front of the x multiplies with the constant in the other set of parentheses
How would you factor x3-27
(x-3)(x2+3x+9)
Explanation: Difference of cubes formula:(a - b)(a² + ab + b²)
a3=x3 so a=x
b3=27 so b=3
(x-3)(x2+(3x)+32)
(x-3)(x2+3x+9)
How would you factor x2-64?
(x+8)(x-8)
Explanation:
x2-b2 can be factored as (x+b)(x-b)
82=64
x2-82=(x+8)(x-8)
How would you factor 2x3-3x2+18x-27?
(2x-3)(y2+9)
Explanation: Group the first two terms and last two terms (2x3-3x2)(18x-27)
Factor out GCF: x2(2x-3) + 9(2x-3)
Common binomial is (2x-3)
Factor (2x-3)(x2+9)