How do you write #x(x+2) ^2# in standard form?

1 Answer
Apr 6, 2016

Answer:

#x(x+2)^2# in standard form is #x^3+4x^2+4x#

Explanation:

Standard form of polynomial means polynomial written in a form of decreasing powers of the variable. If variable is #x#, it could be

#a_0x^n+a_1x^(n-1)+a_2x^(n-2)+a_3x^(n-3)+a_4x^(n-4)+...+a_(n-1)x+a_n#,

where #a_0!=0#. Note that other #a#'s could be zero.

Hence to write #x(x+2)^2# in standard form, we should simplify and expand it.

#x(x+2)^2=x(x^2+4x+4)=x^3+4x^2+4x#