Write in Standard Form y=(x-4)(x-2)

$y = (x - 4) (x - 2)$

Step 1

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

$y = a x^{2} + b x + c$

Step 2

Expand $(x - 4) (x - 2)$ using the FOIL Method.

Apply the distributive property.

$y = x (x - 2) - 4 (x - 2)$

Apply the distributive property.

$y = x \cdot x + x \cdot - 2 - 4 (x - 2)$

Apply the distributive property.

$y = x \cdot x + x \cdot - 2 - 4 x - 4 \cdot - 2$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$y = x^{2} + x \cdot - 2 - 4 x - 4 \cdot - 2$

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

$y = x^{2} - 2 \cdot x - 4 x - 4 \cdot - 2$

Multiply $- 4$ by $- 2$ .

$y = x^{2} - 2 x - 4 x + 8$

Subtract $4 x$ from $- 2 x$ .

$y = x^{2} - 6 x + 8$

Step 4