How do you write this quadratic equation #f(x)=5-4x-x^2# in standard form?

1 Answer
Oct 13, 2016

Answer:

Standard form: #color(green)(f(x)=-x^2-4x+5)#

Explanation:

Standard form for a polynomial requires that the terms be arranged in order of decreasing degree (where the degree of a term is the sum of the exponents of all variables in the term).

#5# (which is equivalent to #5x^color(red)(0)#) has degree #color(red)(0)#
#-4x# (which is equivalent to #-4x^color(red)1#has degree #color(red)1#
#-x^color(red)2# has degree #color(red)2#

Depending upon your instructor, you may be required to make the coefficient of the #-x^2# term explicit as
#f(x)=-color(magenta)1x^2-4x+5#