Download Alg 2-4.4

Algebra II
Notes #:
Objective:
Section 4.4: Factoring Quadratic Expressions
Factoring
Polynomials
Greatest
Common Factor
(GCF)
2 terms
3 terms
4 terms
Simplifying Quotients
of Two Trinomials
*Factor each trinomial
*Cross out binomials that are
common to the numerator and
denominator
a2  a  6
=
a 2  7a  10
(a  3)( a  2)
=
(a  5)( a  2)
a3
, if a  -5
a5
Difference of
Squares (DOS)
Sum or Difference of
Cubes (SODOC)
x2 – y 2 =
x3 + y 3 =
x3 - y 3 =
same, opposite, always a plus
ax2 + bx + c
-Find 2 numbers that multiply to
equal ac and add to equal b
-Then create the box with the ax2
in the top left corner, the c in the
bottom right corner, and the two
numbers that you found (with an x)
in the other two corners
-Finally, find the gcf of each row
and column to create the final two
factors
-Only top right and bottom left can
be (-)
Start these problems at the
box step in the 3 terms
problems!
x 3  5 x 2  7 x  35
Algebra II
Section 4.4: Factoring Quadratic Expressions
Notes #:
Objective:
ALWAYS LOOK FOR A GREATEST COMMON FACTOR FIRST! NUMBER OR VARIABLE!
Example 1) 3 x 2  6 x =
Example 2) 5a 2 b  6ab  7a 3 =
Example 3) 16 x 2 y  48x 3 y 2 =
Example 4) 8a 3b 2  4a 2 b  2ab 2 =
Example 5) x 2  4 =
Example 6) x 4  25 =
Example 7) 9 x 2  81 =
Example 8) 4 y 4  9 =
Example 9) x 3  8 =
Example 10) y 3  27 =
Example 11) 8a 3  125 =
Example 12) x 2  5 x  6 : two numbers that multiply to give _____ and add to give _____
Example 13) x 2  5 x  14 : two numbers that multiply to give _____ and add to give _____
Example 14) x 2  13x  36 : two numbers that multiply to give _____ and add to give _____
Example 15) x 2  5 x  24 : two numbers that multiply to give _____ and add to give _____
Example 16) 5 x 2  13x  6 : two numbers that multiply to give _____ and add to give _____
Example 17) 6 x 2  13x  6 : two numbers that multiply to give _____ and add to give _____
Algebra II
Section 4.4: Factoring Quadratic Expressions
Notes #:
Objective:
Example 18) 2 x  13 x  7 : two numbers that multiply to give _____ and add to give _____
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