Solutions
Factor 3x²−2x−8
1. Multiply 3 by -8, which is -24.
2. Ask: Which two numbers add up to -2 and multiply to -24?
3. Answer: 4 and -6
4. Rewrite −2x as the sum of 4x and −6x:
\(3x^2+4x-6x-8=0\)
Factor out common terms in the first two terms, then in the last two terms
\(x(3x+4)-2(3x+4)=0\)
Factor out the common term 3x+4
\((3x+4)(x-2)=0\)
Solve for x
1. Ask: When will (3x+4)(x−2) equal zero?
2. Answer: When 3x+4=0 or x−2=0.
3. Solve each of the 2 equations above:
x = −4 / 3,2
