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

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Answer 1 · 2018-03-28T00:22:03

#-3x^2-3x+4=0#

Standard forms of polynomials are in the form #ax^2+bx+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 #3x# from both sides to set the equation equal to zero. We get:

#4-3x^2-3x=0#

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

#-3x^2-3x+4=0#

Which would be our final answer in standard form.