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Mathematics 14 Online
OpenStudy (anonymous):

Which polynomial is 3x – 1 a factor of? 6x2 + 10x – 4 9x2 +12x – 3 9x2 + 3x – 5 6x2 + 7x – 6

rebeccaxhawaii (rebeccaxhawaii):

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OpenStudy (anonymous):

What you can do to find this is either divide the polynomials by 3x-1 Or you can find the value of x in this case, which is 1/3, then plug into each equation and work out If you get 0 that means that 3x-1 IS a factor

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

i don't understand?

OpenStudy (anonymous):

It depends on which way you want to do it The first way is more complicated but less tedious and the second way is simple but tedious

OpenStudy (anonymous):

Oh in that case How would you solve 3x-1=0?

OpenStudy (anonymous):

x=-1/3

OpenStudy (anonymous):

I set it equal to zero because that is how you would solve a real polynomial when you factor Is it -1/3 or 1/3? :)

OpenStudy (anonymous):

-1/3

OpenStudy (jdoe0001):

*cough* the remainder theorem *cough*

OpenStudy (anonymous):

1/3?

OpenStudy (anonymous):

Yep

OpenStudy (anonymous):

Ok so now if you input 1/3 for x you SHOULD get 0 for a value, because you set it equaled zero in the factor, so input 1/3 for x in all the equations, if the outcome of one of them is 0 then that is the right answer

OpenStudy (anonymous):

is it the first one because that what I got?

OpenStudy (anonymous):

Yep that looks about right Good job :)

OpenStudy (anonymous):

And yes jdoe001 is right the method you used is called remainder theorem

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