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In Exercises 59-64, use a graphing utility to graph the quadratic function. Find the -intercepts of the graph and compare them with the solutions of the corresponding quadratic equation when $ f(x) = 0 $.
$ f(x) = 2x^2 - 7x - 30 $
$\left(\frac{-5}{2}, 0\right),(6,0)$
Algebra
Chapter 2
Polynomial and Rational Functions
Section 1
Quadratic Functions and Models
Quadratic Functions
Complex Numbers
Polynomials
Rational Functions
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Let's use a graphing utility to graft this quadratic f. So here we are quadratic function. Let's zoom out a little bit and if we zoom in, we could see what the X intercepts are. Negative two and a half and six since record those values, this is from the computer, the calculator. And now we can verify this algebraic Lee by setting the Y value to zero. So said this equal to zero and then saw for X There many ways to do this one way is to just take the left hand side and to try to factor it. So here we want numbers that multiplied to get thirty, and the one that works here is you can do plus five and then a minus six. And this last equation implies that either two X Plus five zero or X minus six zero. So solve these last two equations for X, and you get the ex intercepts. And as you can see, the solution's agree with what we found from the consulate
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