Which of the following best describes the relationship between (x + 1) and the polynomial -3x3 - 2x2 + 1?
A. (x + 1) is a factor.
B. (x + 1) is not a factor.
C. It is impossible to tell whether (x + 1) is a factor.
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OpenStudy (anonymous):
im guessing B.
OpenStudy (anonymous):
Middle school Year 3
OpenStudy (daniel.ohearn1):
Hey
OpenStudy (pawanyadav):
X+1 is a factor
OpenStudy (daniel.ohearn1):
First I would try expressing the polynomial in terms of three products
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OpenStudy (anonymous):
ok
OpenStudy (pawanyadav):
-3x3-3x2+x2+1
I expanded -2x2=-3x2+x2
OpenStudy (daniel.ohearn1):
(x+1)*(x + a)* ( x+ b )
OpenStudy (pawanyadav):
Then
-3x2(x+1) +x^2+1
Sorry wait it's not a factor because we can't express x2+1 in form of (x+1)
OpenStudy (daniel.ohearn1):
now since 3x^3 is one of your final terms you know 3x must be one if it's factors
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OpenStudy (daniel.ohearn1):
(3x+1) even
OpenStudy (pawanyadav):
@Roronoa it's not a factor
OpenStudy (daniel.ohearn1):
So if (3x+1) must be a factor the other two factors must be the product (x^2-x-1) to get our terms right?
OpenStudy (daniel.ohearn1):
(x^2-x-1) can not be factored by x+1, so it should be obvious, does that make sense to you?