Algebra 1
Factoring Day 3
Factoring Trinomials
ax2 + bx + c
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Warm Up
Factor the following appropriately. Be sure to use the BOX METHOD!
a. x2 – 16x + 60
b. x2 – 5x – 24
Today, we’re going to factor trinomials that have the pattern “x squared, x, no x” using the BOX METHOD!
Factoring a Quadratic Using the BOX METHOD: 3x2 – 2x – 5
1. Pull out the GCF
2.
Draw a 2 by 2 Box placing the first term in the top left
and the third term in the bottom right
3.
Multiply the two numbers in the boxes and place it to the side
Then, underneath it, list all of its pairs of factors
4.
Determine whether they have same or different signs
and what the terms need to add up to
5.
Place the two chosen factors (with an x) in the remaining boxes
6.
Travel from right to left then bottom to top pulling out the GCF
Remember, OUTSIDE SIGN CALLS
7.
Whatever is on the edges are the factors!
EXAMPLE 1 – Factor using the BOX Method
Factor the following polynomials using the Box Method
a.
3x2 – 8x + 4
b.
2x2 + 11x + 5
c.
7a2 + 53a + 28
d.
2x2 + 3x – 9
e.
5x2 + 19x + 12
f.
2x2 + 5x + 2
g.
x2 – 14x + 45
h.
x2 – 18x + 80
i.
x2 – 6x + 9
j.
9x2 + 66x + 21
k.
5x2 – 18x + 9
l.
4x2 – 15x – 25
n.
6x2 + 37x + 6
o.
6x2 + 5x – 6
m. 4x2 – 17x + 4