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"FOIL" is an acronym for
First (f+_)(f+_)
Outer (o+_)(_+o)
Inner (_+i)(i+_)
Last (_+L)(_+L)
It refers to components of binomials being multiplied.
You have a trinomial multiplied by a binomial, so there are six intermediate products, not four. FOIL will only get you in trouble. Just use the distributive property.
(2x -1)(2x2 -3x +2) = 2x(2x2 -3x +2) -1(2x2 -3x +2)
= (2x)(2x2) + (2x)(-3x) + (2x)(2) + (-1)(2x2) + (-1)(-3x) + (-1)(2)
= 4x3 -6x2 +4x -2x2 +3x -2
= 4x3 -8x2 +7x -2
First (f+_)(f+_)
Outer (o+_)(_+o)
Inner (_+i)(i+_)
Last (_+L)(_+L)
It refers to components of binomials being multiplied.
You have a trinomial multiplied by a binomial, so there are six intermediate products, not four. FOIL will only get you in trouble. Just use the distributive property.
(2x -1)(2x2 -3x +2) = 2x(2x2 -3x +2) -1(2x2 -3x +2)
= (2x)(2x2) + (2x)(-3x) + (2x)(2) + (-1)(2x2) + (-1)(-3x) + (-1)(2)
= 4x3 -6x2 +4x -2x2 +3x -2
= 4x3 -8x2 +7x -2
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answered 8 months ago
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