Algebra Examples

$y = \frac{- 1}{2} x^{2} + 4 x - 3$

Step 1

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

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

Step 2

Simplify each term.

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Step 2.1

Move the negative in front of the fraction.

$y = - \frac{1}{2} x^{2} + 4 x - 3$

Step 2.2

Combine $x^{2}$ and $\frac{1}{2}$ .

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

Step 3

Reorder terms.

$y = - (\frac{1}{2} x^{2}) + 4 x - 3$

Step 4

Remove parentheses.

$y = - \frac{1}{2} x^{2} + 4 x - 3$

Step 5