What is the standard form of # y= (2x+2)(4x+10)-4x^2+x#?

1 Answer
Feb 19, 2016

#y=4x^2+29x+20#

Explanation:

Given
#color(white)("XXX")y=(2x+2)(4x+10)-4x^2+x#
Expand the factors:
#color(white)("XXX")y=color(green)(8x^2+28x+20) -4x^2+x#
Combine terms with the same exponents of #x# in descending exponent order.
#color(white)("XXX")y=4x^2+29x+20#
This is "standard form": the degree of each term is greater than (or equal to) any term to the right of it (definition of standard form for a general polynomial).