Question

1. use quadratic equation in factored form: f(x) = (x - 3)(x - 1)

a) what is the standard form of given equation?

Explanation:

Step1: Expand using FOIL method

\[

$$\begin{align*} f(x)&=(x - 3)(x - 1)\\ &=x\times x+x\times(- 1)+(-3)\times x+(-3)\times(-1) \end{align*}$$

\]

Step2: Simplify the expression

\[

$$\begin{align*} f(x)&=x^{2}-x - 3x+3\\ &=x^{2}-4x + 3 \end{align*}$$

\]

Answer:

$f(x)=x^{2}-4x + 3$