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Mathematics 7 Online
OpenStudy (anonymous):

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.

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

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

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?

OpenStudy (daniel.ohearn1):

Roronoa?

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