Vieta’s theorem. Factoring a quadratic trinomial
Answers are for parents and teachers.
1
Find the roots of x² - 11x + 24 = 0 with Vieta’s theorem.
x₁ = 3, x₂ = 8
2
Write the reduced equation with roots 1 and -6.
x² + 5x - 6 = 0
3
One root of x² - 9x + q = 0 is 2. Find q and the other root.
x₂ = 7, q = 14
4
Factor 3x² - 5x - 2.
(3x + 1)(x - 2)
5
Find x₁² + x₂² for the roots of x² - 6x + 4 = 0 without solving.
28