Practice Finding Roots Of Cubic Equations (4) - Cubic Functions - IB 10 Mathematics

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10 questions

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6 sample questions

Question 1.
List the possible rational roots for f(x) = x^3 - 2x^2 - 5x + 6.
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Use the factors of the constant and leading coefficients.
Question 2.
What is the formula for quadratic equations?
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Recall from your lessons about quadratics.
3Question 3.
What theorem helps find possible rational roots of a cubic function?
- Fundamental Theorem
- Rational Root Theorem
- Cubic Factorization
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It has 'Rational' and 'Root' in its name!
4Question 4.
Synthetic division is used to:
- True
- False
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Think of it as a quicker way to divide.
Question 5.
Prove that x = 3 is a root for the cubic equation 4x^3 - 6x^2 + 2x - 12 by using synthetic division.
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Set it up carefully!
Question 6.
Find all roots of the cubic function 2x^3 + 3x^2 - 13x - 6 = 0. Show every step using synthetic division and the quadratic formula.
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Find that rational root first!

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