Question 1029543

Write a quadratic equation with -1/3 and 4 as its roots. Write the equation in standard form.
<pre>Since {{{x = - 1/3}}} is a root, then {{{x + 1/3 = 0}}}, or {{{3x + 1 = 0}}} is a factor
Since x = 4 is a root, then x - 4 = 0 is a factor
We can then say that: (3x + 1)(x - 4) = 0
After FOILing the binomials, we get: {{{highlight_green(3x^2 - 11x - 4 = 0)}}} ------ Quadratic equation, in standard form