Which binomial is a factor of -2x^3+14x^2-24x+20
a.x-24 c.x+20
b.x-5 d.x+5
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OpenStudy (anonymous):
b
OpenStudy (anonymous):
Can u explain to me what u did
OpenStudy (anonymous):
sorry about the delay. updates
OpenStudy (anonymous):
ok what you need to do first is factor out a -2 from the initial equation
OpenStudy (anonymous):
then look at the equation and instead of the 20 you have a -10.
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OpenStudy (anonymous):
so you have to find 2 numbers to multiply together to get-10
OpenStudy (anonymous):
these numbers are \[\pm\] (1, 2, 5, 10)
OpenStudy (anonymous):
then comes the busy work. you have to substitute each positive and negative number into the equation so see if if equals 0. In this case, we get -5 and +2 to work
OpenStudy (anonymous):
the factorization of the cubic polynomial always turns out to be:
(where y is any number)
(x[\pm\]y)(x[^{2}\][\pm\]yx[\pm\]y)
OpenStudy (anonymous):
(x+y)(x^y+x+y)
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