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Determine an equation for the pictured graph. Write your answer in factored form.
Remember to start with
f(x)=a(x-r_(1))(x-r_(2))dots

y=

Determine an equation for the pictured graph. Write your answer in factored form. $\newline$ Remember to start with $\mathrm{f}(\mathrm{x})=a\left(x-r_{1}\right)\left(x-r_{2}\right) \ldots$ $\newline$ $y=$

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Find the roots of factored polynomials

Full solution

Q. Determine an equation for the pictured graph. Write your answer in factored form.

\newline

Remember to start with

\mathrm{f}(\mathrm{x})=a\left(x-r_{1}\right)\left(x-r_{2}\right) \ldots

\newline

y=

Identify Roots: Identify the roots of the polynomial from the graph.
Write Factors: Write down the factors corresponding to the roots. If the roots are $r_1$ and $r_2$ , the factors are $(x - r_1)$ and $(x - r_2)$ .
Multiply Factors: Multiply the factors to get the polynomial in factored form. $f(x) = a(x - r_1)(x - r_2)$ .
Determine Coefficient: Determine the leading coefficient $a$ if it's given or can be inferred from the graph. If not given, assume $a = 1$ .
Write Final Equation: Write the final equation using the identified roots and the leading coefficient.

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