1. Factoring Unit 2 Day 4 review from algebra 1-2

2. A-SSE.A.2: I can use the structure of an expression to identify ways to rewrite it.

3. rewrite it by factoring form.
Today I will learn to recognize the unique structure of an expression and
rewrite it by factoring form.

4. using the Bottoms Up Method
Factoring a Trinomial
using the Bottoms Up Method

5. Guided practice Example 1

6. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations
Step 1: Factor out any common terms.
In this problem no common terms exist.
Step 2: Multiply the “a” and “c”
Step 3: Look for all pairs of factor for
this number.
Remember if the # is negative, you will
have to look at each set with one number
positive and one number negative.

7. Step 4: Choose the pair of factors that
will equal the “b” term.
Step 5: Use this pair to write preliminary
factors.
Step 6: Divide each pair, selected in
step 4, by the leading coefficient,
“a” term.
Step 7: If possible, reduce the fractions
into an integer.

8. Step 8: If the fraction does not divide
evenly, resulting in an integer, then pull
divisor up to be the leading coefficient
for the x term.
FACTORED FORM

9. Guided practice Example 2

10. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations
Step 1: Factor out any common
terms.
Step 2: Multiply the “a” and “c”
Step 3: Look for all pairs of factor for
this number.

11. Step 4: Choose the pair of factors that will equal the “b” term.
Step 5: Use this pair to write
preliminary factors.
Step 6: Divide each pair, selected
in step 4, by the leading
coefficient, “a” term.
Step 7: If possible, reduce
the fractions into an integer.

12. Step 8: If the fraction does not divide
evenly, resulting in an integer, then pull
divisor up to be the leading coefficient
for the x term.
FACTORED FORM
FACTORED FORM

13. Guided practice – Thinking map Example 3

14. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations
Step 1: Factor out any common
terms.
Step 2: Multiply the “a” and “c”
Step 3: Look for all pairs of factor for
this number.

15. Step 4: Choose the pair of factors that will equal the “b” term.
Step 5: Use this pair to write
preliminary factors.
Step 6: Divide each pair, selected
in step 4, by the leading
coefficient, “a” term.
Step 7: If possible, reduce
the fractions into an integer.

16. Step 8: If the fraction does not divide
evenly, resulting in an integer, then pull
divisor up to be the leading coefficient
for the x term.
FACTORED FORM
FACTORED FORM

17. INDIVIDUAL practice Example 4

18. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations
Step 1: Factor out any common
terms.
Step 2: Multiply the “a” and “c”
Step 3: Look for all pairs of factor for
this number.

19. Step 4: Choose the pair of factors that will equal the “b” term.
Step 5: Use this pair to write
preliminary factors.
Step 6: Divide each pair, selected
in step 4, by the leading
coefficient, “a” term.
Step 7: If possible, reduce
the fractions into an integer.

20. Step 8: If the fraction does not divide
evenly, resulting in an integer, then pull
divisor up to be the leading coefficient
for the x term.
FACTORED FORM
FACTORED FORM

21. Factoring Monomials First

22. Guided practice Example 5

23. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations
Step 1: Factor out any common
terms.
Step 2: Multiply the “a” and “c”
Step 3: Look for all pairs of factor for
this number.

24. Step 4: Choose the pair of factors that will equal the “b” term.
Step 5: Use this pair to write
preliminary factors.
Step 6: Divide each pair, selected
in step 4, by the leading
coefficient, “a” term.
Step 7: If possible, reduce
the fractions into an integer.

25. Step 8: If the fraction does not divide
evenly, resulting in an integer, then pull
divisor up to be the leading coefficient
for the x term.
FACTORED FORM
FACTORED FORM

26. Guided practice Example 6

27. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations
Step 1: Factor out any common
terms.
Step 2: Multiply the “a” and “c”
Step 3: Look for all pairs of factor for
this number.

28. Step 4: Choose the pair of factors that will equal the “b” term.
Step 5: Use this pair to write
preliminary factors.
Step 6: Divide each pair, selected
in step 4, by the leading
coefficient, “a” term.
Step 7: If possible, reduce
the fractions into an integer.

29. Step 8: If the fraction does not divide
evenly, resulting in an integer, then pull
divisor up to be the leading coefficient
for the x term.
FACTORED FORM
FACTORED FORM

30. INDIVIDUAL practice Example 7

31. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations
Step 1: Factor out any common
terms.
Step 2: Multiply the “a” and “c”
Step 3: Look for all pairs of factor for
this number.

32. Step 4: Choose the pair of factors that will equal the “b” term.
Step 5: Use this pair to write
preliminary factors.
Step 6: Divide each pair, selected
in step 4, by the leading
coefficient, “a” term.
Step 7: If possible, reduce
the fractions into an integer.

33. Step 8: If the fraction does not divide
evenly, resulting in an integer, then pull
divisor up to be the leading coefficient
for the x term.
FACTORED FORM
FACTORED FORM

34. Checking for understanding…
How is factoring polynomials related to multiplication of polynomials?

35. Checking for understanding…
What characteristic would determine if a trinomial could not be factored?