Write in Standard Form 4x(x-5)(x+6)

$4 x (x - 5) (x + 6)$

Step 1

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

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

Step 2

Apply the distributive property.

$(4 x \cdot x + 4 x \cdot - 5) (x + 6)$

Step 3

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

Move $x$ .

$(4 (x \cdot x) + 4 x \cdot - 5) (x + 6)$

Multiply $x$ by $x$ .

$(4 x^{2} + 4 x \cdot - 5) (x + 6)$

Step 4

Multiply $- 5$ by $4$ .

$(4 x^{2} - 20 x) (x + 6)$

Step 5

Expand $(4 x^{2} - 20 x) (x + 6)$ using the FOIL Method.

Apply the distributive property.

$4 x^{2} (x + 6) - 20 x (x + 6)$

Apply the distributive property.

$4 x^{2} x + 4 x^{2} \cdot 6 - 20 x (x + 6)$

Apply the distributive property.

$4 x^{2} x + 4 x^{2} \cdot 6 - 20 x \cdot x - 20 x \cdot 6$

Step 6

Simplify and combine like terms.

Simplify each term.

Multiply $x^{2}$ by $x$ by adding the exponents.

Move $x$ .

$4 (x \cdot x^{2}) + 4 x^{2} \cdot 6 - 20 x \cdot x - 20 x \cdot 6$

Multiply $x$ by $x^{2}$ .

Raise $x$ to the power of $1$ .

$4 (x^{1} x^{2}) + 4 x^{2} \cdot 6 - 20 x \cdot x - 20 x \cdot 6$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$4 x^{1 + 2} + 4 x^{2} \cdot 6 - 20 x \cdot x - 20 x \cdot 6$

Add $1$ and $2$ .

$4 x^{3} + 4 x^{2} \cdot 6 - 20 x \cdot x - 20 x \cdot 6$

Multiply $6$ by $4$ .

$4 x^{3} + 24 x^{2} - 20 x \cdot x - 20 x \cdot 6$

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

Move $x$ .

$4 x^{3} + 24 x^{2} - 20 (x \cdot x) - 20 x \cdot 6$

Multiply $x$ by $x$ .

$4 x^{3} + 24 x^{2} - 20 x^{2} - 20 x \cdot 6$

Multiply $6$ by $- 20$ .

$4 x^{3} + 24 x^{2} - 20 x^{2} - 120 x$

Subtract $20 x^{2}$ from $24 x^{2}$ .

$4 x^{3} + 4 x^{2} - 120 x$

Write in Standard Form 4x(x-5)(x+6)

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