Math 080 Factoring Trinomials (6.2)
Name: ___________________________
At Home Video Notes: Section 6.2. Start at the beginning and fill in the notes below:
Factoring means: _____________________________________________________________________.
Factoring a Trinomial of the Form x 2  bx  c .

The product of x  bx  c is x 
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 x  
the product of these numbers is _____
the sum of these numbers is ______
Example: Factor x 2  7 x  6
Step 1: To factor a polynomial, first check for a _______________.
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Step 2: Factor means, write as a ____________. So, x  7 x  6 =  ____
 ____
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Find two numbers whose product is ________ and sum is ____________
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Step 3: Answer: x  7 x  6 =  ____
____  ____
____ 
Step 4: How do we check our answer???? ____________________________________________
****Keep watching, or if you get it, skip to the lecture after part 5/6 (~ 10:00)****
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Example: Factor 3x  9 x  30
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2 2
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Example (video 6/6 ~ 12:45): Factor 5x y  25x y  120 xy
In-class work: Simplify
1.  x  3 x  3
2.  n  17  n  1
3.  q  3 q  9 
4.  r  4  r  12 
Now try going backwards. Directions: Factor as MUCH as possible.
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5. Factor x 2  x  42
6. Factor x  8x  15



7 x


 x

5

2
2
7. Factor x  3xy  4 y

 x

Groups: Factor, match the expression on the left with the correct factorizations on the right:
8. x2  18x  144
 x  12 x  12
9.
x2  16 x  48
2 x3  x  4  x  3
10. 4 x2  4 x  48
4  x  4  x  3
11. x 2  24 x  144
 x  3 x  3
12. 3x3  12 x2  36 x
3x  x  6  x  2 
13. 2 x5  14 x4  24 x3
 x  24 x  6
14. x 2  3x  6
prime
15. x 2  6 x  9
 x  12 x  4
Groups: Factor the following or state that it is prime. From the book: # 1 – 70 ALL. Each person gets at
least 2 problems. Write your work below or on scrap paper.
Practice: Section 6.2: #1 – 87 (odd), Section 6.3: # 1 – 125 (odd), Section 6.4: # 1 – 67 (odd)
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