Question

Identify the roots of the quadratic function. What is the product when the roots are multiplied?

Answer 1

Check the picture below.

`\begin{cases} x = -1 &\implies x +1=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x +1 )( x -3 ) = \stackrel{0}{y}}\implies a(x^2-2x-3)=y\hspace{5em}\stackrel{\textit{\LARGE product}}{x^2-2x-3}`

now, that's not the equation of the parabola, unless the value of "a" is 1, but in this case, doesn't matter, we just need that product part.