This document contains class notes and information about an upcoming test on factoring quadratic expressions. It discusses different methods for factoring trinomials of the form ax2 + bx + c, including greatest common factor, grouping, difference of squares, and trial and error. It also reviews the differences between linear and quadratic equations. The test will focus on factoring quadratic expressions using these various techniques.

1. Today:
 STAR Math Progress
 Class Notes; ax2
+ bx + c trinomials,
Linear vs. Quadratic Equations
 Test: Factoring Quadratic Expressions
March
31

2. Today's Test:
 GCF, Grouping, x2
+ bx + c
trinomials, Perfect Square
Trinomials/Special Products
 Class Notes; Not on today's test, but next test
 ax2
+ bx + c trinomials,
Linear vs. Quadratic Equations
 Test: Factoring Quadratic Expressions

3. Class Notes:
2. (4x2
+ 44x + 121)
Part I of our 3rd quarter final will be on new material,
including ax2
+ bx + c trinomials.
Part II will cover all other 3rd quarter concepts.
1. 4x2 – 9y6
3. 21x2 – 41x + 10
The Possible factors of 21x2 are what?
Since our signs are -, +, possible factors of 10 must both be
negative, and are....
When a•c results in a large number, we can
mix and match factors of a and c, until we
find a pair that works.
{x, 21x} or {3x, 7x}
{-1, -10} or {-2, -5}.
Try different combinations until one pair equals the original
trinomial. The correct factorization is... (3x – 5)(7x – 2)
Diff. of squares PST

4. Class Notes:
Once more, 35x2 + 2x - 24 Our signs will be... ( ) ( )+ -
Possible factors of 35x2 are {x, 35x} or {5x, 7x}
The factors of 24 could have either sign, so both must be
tested. (1, -24) or (-1, 24) (2, -12) or (-2, 12), etc.
Since the middle term is a small number, the factors must
be close to each other. Remember this important point.

5. Class Notes:
Linear vs. Quadratic Equations
1. Write a Linear Equation, any linear equation
2. Write the Linear Equation in both standard and slope-
intercept form. Fill in the blank: (In your notebook)
3. The highest degree of any linear equation is _______.
The angle of the line depends on the _______, and every
linear equation results in a ________ line.
1
slope
straight
4. Write the equation
of the given line

6. Quadratic Equations: (Write this down)
Class Notes:
1. Have a highest degree of 2.
2. Have a standard form of: ax2 + bx + c = 0
3. Have a graph which always results in a parabola.
4. Have solutions which
show the x intercept(s)
Last question for today:
Solve: x2 + 3x - 4 = 0
(x ) (x ) = 0+ -4 1
x = (-4, 1)

7. Take 5, then we'll begin the test
 You will need:
 Your correct code, pencil only, no
phones., scratch paper
 Prayers, lots of prayers
 You can use a regular calculator, but one is
not necessary for this test.