BitWithBite
Mathematics Worksheet
🧩 Factoring
SCORE___ / 20
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After this worksheet you can
Factor out the greatest common factor.Factor quadratic trinomials.Factor a difference of squares.Recognise perfect-square trinomials.📚 Quick Recap
Factoring reverses multiplication — breaking a polynomial back down into the simpler expressions that were multiplied together to create it, which is essential for solving equations.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1Factor 5x2 + 15x:
2Factor x2 + 9x + 20:
3Factor x2 − 25:
4Factor x2 − 7x + 12:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5The GCF of 5x2 + 15x is .
6x2 − 25 factors as .
7Factor 5x2 + 15x using the GCF.
8Factor x2 + 9x + 20.
9Factor x2 − 25.
🚀 Section C · Challenge ● CHALLENGE 5
10Factor x2 − 7x + 12.
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-A 3-A 4-A | 5 5x 6 (x+5)(x−5) 7 = 5x(x+3) 8 = (x+4)(x+5) 9 = (x+5)(x−5) | 10 = (x−3)(x−4)