1. OBJECTIVE: How do we factor
trinomials?
Do Now
1.) Find two numbers whose product is 20
and sum is 9.
2.) Find two numbers whose product is -16
and sum is -6.
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2. Anticipatory Set
Based on the Double Distributive Method, we know that
(x + 4)(x + 3) = x2 + 7x + 12
Let suppose that we are given x2 + 6x + 8, how can we find the
factors of this trinomial?
x2 + 6x + 8
Factoring a Trinomial: to factor x2 + bx + c, find numbers p and q
such that
p+q=b and pq = c
x2 + bx + c = (x + p)(x + q)
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3. Online Examples
a) x² + 5x + 6 = (x + 2)(x + 3)
b) x² − x − 6 = (x − 3 )(x + 2)
c) x² + x − 6 = (x + 3 )(x − 2)
d) x² − 5x + 6 = (x − 3)(x − 2 )
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4. e) x² + 7x + 6 = (x + 1)(x + 6 )
f) x² − 7x + 6 = (x − 1)(x − 6 )
g) x² + 5x − 6 = (x − 1)(x + 6 )
h) x² − 5x − 6 = (x + 1)(x − 6 )
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5. BEFORE YOU LEAVE
Link to Blog
How were the methods shown in the video different than
the methods shown in the class notes?
Video Clip
Video Clip
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6. Mr. Tjersland's Math 7
Homework: Factor Numbers 13 to 20 on the Homework Sheet
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