Factoring polynomials

Quadratic

100

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 

Difference of cube

100

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)

Difference of square

100

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)

4 terms

100

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)