Understanding Factoring: a ≠ 1
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Beginner
Start here! Easy to understand
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Beginner Explanation
To factor $ax^2 + bx + c$ when $a \neq 1$, find two numbers that multiply to $a \cdot c$ and add to $b$. Then rewrite the middle term using those numbers and factor by grouping.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
What is the factorization of $6x^2 + 5x - 6$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
You need to build a rectangular garden with an area of $12x^2 + 17x + 5$ square units. Determine the possible dimensions.
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Can you derive the factors of $8x^2 - 14x + 3$ using the ac method?
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4
Challenge Quiz
Single Choice Quiz
Advanced
Which is the factorization of $15x^2 - 23x + 6$?
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Recap
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