Factoring Pathways Exit Ticket
Factoring Pathways Exit Ticket
Goal: Use the reference guide to select and justify the correct factoring method.
Score: / 4
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Reference Guide: Factoring Decision Pathways
Check for a GCF first on all expressions!
Method A: GCF
Terms share a common number or variable.
\(ax^2 + bx = x(ax + b)\)
Method B: Diff. Squares
2 terms, subtraction, both terms perfect squares.
\(a^2 - b^2 = (a-b)(a+b)\)
Method C: Trinomial (\(a=1\))
3 terms, \(x^2 + bx + c\); find factors of \(c\) adding to \(b\).
\((x + m)(x + n)\)
Method D: AC Method (\(a \neq 1\))
3 terms, \(ax^2 + bx + c\) where \(a \neq 1\); factor by grouping.
Multiply \(a \cdot c\), group
1 Expression:
\(4x^2 - 49\)
A. Refer to guide: Which method applies?
Method A (GCF) Method B (Diff. Squares) Method C (\(a = 1\)) Method D (\(a \neq 1\))
B. Reference Clue: What visual feature guided your choice?
C. Factored Form:
2 Expression:
\(3x^2 + 15x\)
A. Refer to guide: Which method applies?
Method A (GCF) Method B (Diff. Squares) Method C (\(a = 1\)) Method D (\(a \neq 1\))
B. Reference Clue: What visual feature guided your choice?
C. Factored Form:
3 Expression:
\(x^2 - 8x + 12\)
A. Refer to guide: Which method applies?
Method A (GCF) Method B (Diff. Squares) Method C (\(a = 1\)) Method D (\(a \neq 1\))
B. Reference Clue: What visual feature guided your choice?
C. Factored Form:
4 Expression:
\(2x^2 + 7x + 3\)
A. Refer to guide: Which method applies?
Method A (GCF) Method B (Diff. Squares) Method C (\(a = 1\)) Method D (\(a \neq 1\))
B. Reference Clue: What visual feature guided your choice?
C. Factored Form:
Self-Check: How confident are you using the reference sheet?
Still Practicing Mostly Confident Got It Down!
