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OpenStudy (anonymous):
7x^3-5x^2-63x+45 use the zero x=3 to find all the zeros of the polynomial function
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OpenStudy (mathteacher1729):
Do you know how to do polynomial division?
OpenStudy (anonymous):
is that synthetic division?
OpenStudy (mathteacher1729):
Yeah, different names, same process.
OpenStudy (anonymous):
i know how but there has to be a faster wayy or id be testing like 13 roots
OpenStudy (anonymous):
oh now i get it.. thanks emirzoyan
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OpenStudy (anonymous):
wlecome :)
OpenStudy (anonymous):
welcome*
OpenStudy (mathteacher1729):
You're already given one root. So if you divide by (x+3) you'll end up with a quadratic equation.
Finding the roots of the quadratic should be easy.
OpenStudy (anonymous):
oh like divide the whole thing by x+3
OpenStudy (mathteacher1729):
Arrrgh, no no no, not +3, sorry. :(
If +3 is a ROOT that means (x - 3 ) is a FACTOR.
(because if x = +3 then (x- +3) = 0
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OpenStudy (mathteacher1729):
So divide by (x-3)
OpenStudy (anonymous):
ok no worries
OpenStudy (anonymous):
okay i got 7x^2+16x-15 but im lost on how to factor it
OpenStudy (mathteacher1729):
Since 7 is the coefficient of x^2 you know that it's going to factor
(7x ) * ( x )
can you fill in the rest?
OpenStudy (anonymous):
no im having trouble with that
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