Download Section 4-4 Day 1 Factoring

Name: ____________________________________________ Date: _________________ Period: _________
Algebra 2
Section 4-4 Day 1
Factoring Quadratic Expressions
Factoring: ________________________________________________________________________________
Steps to Factor.
1. Write the polynomial in _________________________________________________________________.
2. Factor out the ____________________________________, but do not lose it.
3. Multiply the coefficient of the first term by the coefficient of the last term (a ∙ c)
4. Find factors of that product that add to the coefficient of the middle term.
5. Write two fractions
1st term
1st term
,
then ______________________.
one factor 2nd factor
6. The numerators and denominators are the terms of the factors.
7. If the polynomial is not factorable, write _______________________________________________.
8. Check your answer by ____________________________!
Examples:
Factor.
1. 6 x 2  13x  5
2. x 2  8 x  15
3. x 2  9 x  14
4. 2 x 2  x  10
Examples:
Factor.
5. 6 x 2  11x  2
6. 4 x 2  11x  6
7. y 2  8 y  20
8. 2 x 2  x  3
9.
3x 2  5 x  12
10. a 2  8a  12