Practice Forming Quadratic Equations (4) - Quadratic Equations - IB 10 Mathematics

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9 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Form a quadratic equation with roots 1 and 2.
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Use the formula x^2 - (alpha + beta)x + alpha*beta.
Question 2.
What is the quadratic equation with roots -1 and 3?
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Remember to add the roots and multiply them.
3Question 3.
What is the general form of a quadratic equation?
- ax + b = 0
- ax^2 + bx + c = 0
- a + b = c
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Look for the form that includes x squared.
4Question 4.
True or False: Roots of the quadratic equation can be negative.
- True
- False
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Consider the impact of the signs of roots.
Question 5.
Given roots -2 and 5, what is the corresponding quadratic equation? Also, describe how these roots affect the graph.
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Use the sum of the roots and their product to find coefficients.
Question 6.
A scenario involves finding dimensions of a rectangular field where roots represent plausible side lengths. The roots are 2 and 8. Formulate the equation.
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Think about how the area relates to the equation formed.

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