Precalculus Examples

$x^{2} + 4 x + y + 3 = 0$

Step 1

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

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Step 1.1

Subtract $x^{2}$ from both sides of the equation.

$4 x + y + 3 = - x^{2}$

Step 1.2

Subtract $4 x$ from both sides of the equation.

$y + 3 = - x^{2} - 4 x$

Step 1.3

Subtract $3$ from both sides of the equation.

$y = - x^{2} - 4 x - 3$

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 $- x^{2} - 4 x - 3$ .

$y = - x^{2} - 4 x - 3$

Step 4