Algebra Examples

$- x^{2} + 10 x + y - 21 = 0$

Step 1

Move all terms not containing $y$ to the right side of the equation.

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Step 1.1

Add $x^{2}$ to both sides of the equation.

$10 x + y - 21 = x^{2}$

Step 1.2

Subtract $10 x$ from both sides of the equation.

$y - 21 = x^{2} - 10 x$

Step 1.3

Add $21$ to both sides of the equation.

$y = x^{2} - 10 x + 21$

Step 2

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

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

Step 3

The standard form is $x^{2} - 10 x + 21$ .

$y = x^{2} - 10 x + 21$

Step 4