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

1 Answer
Alan P.
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).

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