Write in Standard Form x(2x-5)

$x (2 x - 5)$

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

Simplify by multiplying through.

Apply the distributive property.

$x (2 x) + x \cdot - 5$

Reorder.

Rewrite using the commutative property of multiplication.

$2 x \cdot x + x \cdot - 5$

Move $- 5$ to the left of $x$ .

$2 x \cdot x - 5 \cdot x$

Step 3

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

Move $x$ .

$2 (x \cdot x) - 5 \cdot x$

Multiply $x$ by $x$ .

$2 x^{2} - 5 \cdot x$

$2 x^{2} - 5 x$