Write in Standard Form y=6(2x-1)(x+5)

$y = 6 (2 x - 1) (x + 5)$

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

Simplify by multiplying through.

Apply the distributive property.

$y = (6 (2 x) + 6 \cdot - 1) (x + 5)$

Multiply.

Multiply $2$ by $6$ .

$y = (12 x + 6 \cdot - 1) (x + 5)$

Multiply $6$ by $- 1$ .

$y = (12 x - 6) (x + 5)$

Step 3

Expand $(12 x - 6) (x + 5)$ using the FOIL Method.

Apply the distributive property.

$y = 12 x (x + 5) - 6 (x + 5)$

Apply the distributive property.

$y = 12 x \cdot x + 12 x \cdot 5 - 6 (x + 5)$

Apply the distributive property.

$y = 12 x \cdot x + 12 x \cdot 5 - 6 x - 6 \cdot 5$

Step 4

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$y = 12 (x \cdot x) + 12 x \cdot 5 - 6 x - 6 \cdot 5$

Multiply $x$ by $x$ .

$y = 12 x^{2} + 12 x \cdot 5 - 6 x - 6 \cdot 5$

Multiply $5$ by $12$ .

$y = 12 x^{2} + 60 x - 6 x - 6 \cdot 5$

Multiply $- 6$ by $5$ .

$y = 12 x^{2} + 60 x - 6 x - 30$

Subtract $6 x$ from $60 x$ .

$y = 12 x^{2} + 54 x - 30$

Step 5