What is the standard form of #y= (-x + 2)(7x + 4 ) #?

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Answer 1 · 2016-02-14T10:51:25

#y=7x^2-10x+8#

#y=(-x+2)(7x+4)#

First we can multiply the two binomials using the FOIL method:

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#ul First=-x*7x=-7x^2 #

#ul Outer=-x*4=-4x#

#ul I##n##n##er=2*7x=14x#

#ul Las##t=2*4=8#

Now combine them:

#rarr-7x^2-4x+14x+8#

#rarr=-7x^2-10x+8#

So in Standard form:

#rArry=-7x^2-10x+8#

Answer 2 · 2016-02-14T10:53:03

Standard form of #y=(−x+2)(7x+4)# is #y=ax^2+bx+c#

Expanding #y=(−x+2)(7x+4)#

#y=-7x^2+14x-4x+8# or #y=-7x^2+10x+8#

Hence standard form of #y=(−x+2)(7x+4)# is #y=ax^2+bx+c#