1. Grade 10 Academic (MPM2D) Unit 3: Algebra & Quadratic Models Factoring Simple Trinomials
Mr. Choi
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2. Factoring a Polynomials
A polynomial is factored when it is written as the product of polynomials. We will consider that a
polynomial is completely factored when no more variable factors can be removed and no more integer
factors, other than 1 or -1, can be removed.
Factoring Simple Trinomials
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3. Factoring a Trinomial To factor a trinomial in the form
Remove any common factors
Write x as the first term in each binomial factor
Write the second terms, which are two numbers whose sum is b and whose product is c
Factoring Simple Trinomials
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4. Example 1: +3 & +1 +3 & +2 Factor completely
2 integers with:
Product of:
Sum of: +3 +4
+3 & +1
2 integers with:
Product of:
Sum of: +6 +5
+3 & +2
Factoring Simple Trinomials
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5. Example 1 - Continued +9 & -2 -8 & +2 -4 & -9 Factor completely
2 integers with:
Product of:
Sum of:
-18 +7
+9 & -2
2 integers with:
Product of:
Sum of:
-16 -6
-8 & +2
2 integers with:
Product of:
Sum of:
+36
-13
-4 & -9
Factoring Simple Trinomials
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6. Example 1 - Continued Always check for common factoring first!!!
Factor completely
Always check for common factoring first!!!
2 integers with:
Product of:
Sum of: +6 -5
-3 & -2
2 integers with:
Product of:
Sum of: +5 +3
Not such integers!
Cannot further be factored,
trinomial is not factorable.
Factoring Simple Trinomials
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7. Example 2 – Factoring Special Trinomials
Factor completely
You can still think this way!!
2 integers with:
Product of:
Sum of:
+7 & +7
+49
+14
You can still think this way!!
2 integers with:
Product of:
Sum of:
+64
-8 & -8
-16
Factoring Simple Trinomials
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8. Example 2 – Factoring Special Trinomials
Factor completely
Always check for common factoring first!!!
You can still think this way!!
2 integers with:
Product of:
Sum of:
+36
-12
-6 & -6
You can still think this way!!
2 integers with:
Product of:
Sum of:
+25
+10
+5 & +5
Factoring Simple Trinomials
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9. Example 3: More variables
Factor completely
2 integers with:
Product of:
Sum of: 27
-12
-9 & -3
2 integers with:
Product of:
Sum of:
-15 -2
-5 & +3
Factoring Simple Trinomials
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10. Example 3: More variables - Continued
Factor completely
Always check for common factoring first!!!
2 integers with:
Product of:
Sum of: -6 +1
+3 & -2
2 integers with:
Product of:
Sum of: -3 +2
+3 & -1
Factoring Simple Trinomials
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11. Homework
Work sheet: Factoring Simple Trinomials Day 1: #1 – 5 Day 2: #6, 7 Text: Day 2: P. 307 #2, 3 Check the website for updates
Factoring Simple Trinomials
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12. End of lesson Factoring Simple Trinomials
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