# How do you write a polynomial in standard form, then classify it by degree and number of terms #5-4x^2+6-11x^2#?

##### 1 Answer

Aug 9, 2016

#### Explanation:

This polynomial can be simplified by collecting ' like terms'

#color(blue)(5)-color(red)(4x^2)+color(blue)(6)-color(red)(11x^2)=-15x^2+11# This polynomial has 2 terms,

#-15x^2" and" +11# To express a polynomial in 'standard form' , we start with the highest power of the variable followed by terms with

decreasing powers until the last term, usually a constant.The polynomial in standard form is

#-15x^2+11# The

#color(blue)"degree of a polynomial"# is the value of the highest power of the variable within the polynomial. In this case#x^2# has a power value of 2.

#rArr" this polynomial is of " color(blue)"degree 2"# In conclusion:

#5-4x^2+6-11x^2" can be simplified to " -15x^2+11# Which is in standard form, having 2 terms and of degree 2.