Understanding Factoring: b Negative
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Beginner
Start here! Easy to understand
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Beginner Explanation
Example: Factor $x^2 - 5x + 6$. Find two numbers that multiply to 6 and add to -5: -2 and -3. Rewrite: $x^2 - 2x - 3x + 6$. Factor by grouping: $x(x - 2) - 3(x - 2) = (x - 2)(x - 3)$.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
Which of the following is a factor of $x^2 - 5x + 6$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
You're designing a garden with an area of $x^2 - 4x + 4$ square feet. How can you determine the dimensions of the garden?
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Given the expression $x^2 - 7x + 12$, think about the possible pairs of factors.
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4
Challenge Quiz
Single Choice Quiz
Advanced
What is the factored form of $2x^2 - 7x + 3$?
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