# How do you write 3x=4-3x^2 in standard form?

Mar 28, 2018

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

#### Explanation:

Standard forms of polynomials are in the form $a {x}^{2} + b x + c = 0$. The key realizations are:

a) We want to set the polynomial equal to zero
b) The exponents should descend from left to right

So, let's subtract $3 x$ from both sides to set the equation equal to zero. We get:

$4 - 3 {x}^{2} - 3 x = 0$

This still isn't in standard form, since the exponents aren't in descending order. We can rewrite this as

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

Which would be our final answer in standard form.