Finite Math Examples

$r (x) = x (90 - x)$

Step 1

Simplify by multiplying through.

Tap for more steps...

Step 1.1

Apply the distributive property.

$r (x) = x \cdot 90 + x (- x)$

Step 1.2

Reorder.

Tap for more steps...

Step 1.2.1

Move $90$ to the left of $x$ .

$r (x) = 90 \cdot x + x (- x)$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$r (x) = 90 \cdot x - x \cdot x$

Step 2

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

Tap for more steps...

Step 2.1

Move $x$ .

$r (x) = 90 x - (x \cdot x)$

Step 2.2

Multiply $x$ by $x$ .

$r (x) = 90 x - x^{2}$

Step 3

Reorder $90 x$ and $- x^{2}$ .

$r (x) = - x^{2} + 90 x$

Step 4

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$- x^{2} \to 2$

$90 x \to 1$

Step 5

The largest exponent is the degree of the polynomial.

$2$

Step 6

The maximum number of possible roots is the degree of $- x^{2} + 90 x$ .

$2$