Practice Factoring (3.1) - Quadratic Functions - IB 10 Mathematics

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6 sample questions

Question 1.
Solve 𝑥² - 5𝑥 + 6 = 0 by factoring.
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Look for two numbers that multiply to 6 and add up to -5.
Question 2.
Factor 𝑥² + 4𝑥 + 4.
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Think about perfect squares.
3Question 3.
What is the first step in factoring a quadratic equation?
- Add b to c
- Identify a, b, c
- Set it equal to zero
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Remember the form ax² + bx + c.
4Question 4.
If a quadratic factors to (x + 4)(x + 3) = 0, what are the roots?
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Think about what makes each factor equal to zero.
Question 5.
Factor 4x² - 16 = 0, showing all the necessary steps.
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Look for a difference of squares first.
Question 6.
Consider the quadratic equation 6x² + 5x - 6 = 0. Factor completely and identify its roots.
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You might want to use the AC method to find suitable factors.

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