What is the standard form of a polynomial #(7x^2 - 2x + 8) - (4x^2 + 9x - 1)#?
1 Answer
Aug 13, 2016
Explanation:
The first step is to distribute the brackets.
#rArr7x^2-2x+8-4x^2-9x+1# now, collect
#color(blue)"like terms"#
#color(blue)(7x^2-4x^2)color(red)(-2x-9x)color(magenta)(+8+1)#
#=3x^2-11x+9" in standard form"# Standard form means start with the term with the highest power of the variable, in this case
#x^2# , followed by the next highest power and so on until the last term, the constant.