algebra questions

Question

What are the zeros of the parabola: f(x) = x² - 7x + 10 (that is, what are the x-intercepts or the points where the graph crosses the x-axis)

Answer 1

Let us use Vieta’s formulas to guess the roots of the polynomial.

x₁ + x₂ = 7

x₁ * x₂ = 10

It is easy to see that the roots are 2 and 5