Write in Standard Form f(x)=(x-3)(x+2)

$f (x) = (x - 3) (x + 2)$

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$f (x) = a x^{2} + b x + c$

Expand $(x - 3) (x + 2)$ using the FOIL Method.

Apply the distributive property.

$f (x) = x (x + 2) - 3 (x + 2)$

Apply the distributive property.

$f (x) = x \cdot x + x \cdot 2 - 3 (x + 2)$

Apply the distributive property.

$f (x) = x \cdot x + x \cdot 2 - 3 x - 3 \cdot 2$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

Move $2$ to the left of $x$ .

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

Multiply $- 3$ by $2$ .

$f (x) = x^{2} + 2 x - 3 x - 6$

Subtract $3 x$ from $2 x$ .

$f (x) = x^{2} - x - 6$