4.2a Factoring Quadratic Expressions (Part 1)
Warm-up:
Estimate the zeros of each quadratic function given its table of values.
a)
B)
c)
x
y
x
y
-5
22
3
-12
-4
9
4
-3
-3
0
5
0
-2
-5
6
-3
-1
-6
7
-12
0
-3
8
-27
1
4
2
15
3
30
x
y
-3
37
-2
15
-1
3
0
1
1
9
2
27
4.2a Factoring Quadratic Expressions
I. Factoring a GCF - If all terms share a common factor, factor it in front of brackets
a) 2x2+5x
b) 10x2-25x
c) -2x2y-6xy+14xy2
II. Factoring Differences of Squares
a)
b)
c)
d)
e)
a 2 - b2 =
x2 - 9
5x2 - 20
16x2 - 49y2
40x3 - 250xy2
-4x2 + y2z2
III. Factoring Trinomials of the form x2 + bx + c
a) x2 + 7x + 12
b) p2 + 7p - 18
Ch4 - Quadratic Equations Page 1
c) -x2 + 8x + 33
d) 3x2 - 6x - 24
e) 0.5x2 + 6.5x + 21
IV. Factoring trinomials of the form ax2 + bx + c
a) 2x2 - x - 21
a) 5x2 - 7x + 2
c) 9x2 - 39x + 30
d) 5 + 6x - 8x2
e) 8x2 - 2x - 15
Assignment: Factoring Review Worksheet
Ch4 - Quadratic Equations Page 2