What is the standard form of y= (x+3) (4x+1) ?

1 Answer
George C.
Dec 27, 2015

y = 4x^2+13x+3

Explanation:

Use FOIL to multiply out...

(x+3)(4x+1) = stackrel "First" overbrace(x*4x) + stackrel "Outside"overbrace(x*1) + stackrel "Inside" overbrace(3*4x) + stackrel "Last" overbrace(3*1)

=4x^2+x+12x+3 = 4x^2+13x+3

Standard form has individual terms in descending order of degree of x. If the binomial factors are expressed in the form (ax+b) then the result of FOIL will be in the right order, just requiring the combination of the middle terms.

Related questions
See all questions in Polynomials in Standard Form
Impact of this question
1422 views around the world
You can reuse this answer
Creative Commons License