Algebra Examples

$0$ , $3$

Roots are the points where the graph intercepts with the x-axis $(y = 0)$ .

$y = 0$ at the roots

The root at $x = 0$ was found by solving for $x$ when $x - (0) = y$ and $y = 0$ .

The factor is $x$

The root at $x = 3$ was found by solving for $x$ when $x - (3) = y$ and $y = 0$ .

The factor is $x - 3$

Combine all the factors into a single equation.

$y = (x) (x - 3)$

Multiply all the factors to simplify the equation $y = (x) (x - 3)$ .

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Apply the distributive property.

$y = x \cdot x + x \cdot - 3$

Simplify the expression.

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Multiply $x$ by $x$ .

$y = x^{2} + x \cdot - 3$

Move $- 3$ to the left of $x$ .

$y = x^{2} - 3 x$