can anyone factorise cubics?
2z³+9z²-6z-40
Determine which of (z-2), (z+3) and (z+4) is a factor
Hence write the above equation as a product of linear factors
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OpenStudy (anonymous):
(z-2)(z+4)(2z+5)
OpenStudy (anonymous):
can you please explainthat
OpenStudy (anonymous):
we have to find an x value that makes the expression zero, we can do this by evaluating the function at points that could makes this function zero. In this case we notice that 2 makes this function zero.
OpenStudy (anonymous):
what we will do is divide this cubic polynomial by z-2. This will help us to get the cubi function into a qudratic function
OpenStudy (anonymous):
hm ok
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OpenStudy (anonymous):
So, after dividion, we : 2x^2+13z+20
OpenStudy (anonymous):
so now we have (z-2)(2z^2+13z+20)
OpenStudy (anonymous):
now gues what we do???
OpenStudy (anonymous):
thats right we factor the quadratic
OpenStudy (anonymous):
haha
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OpenStudy (anonymous):
The quadratic factors to: (2z+5)(z+4).
OpenStudy (anonymous):
Now we have the factored form of the cubic polynomial as: (z-2)(z+4)(2z+5)
OpenStudy (anonymous):
Does that answer that question??:)
OpenStudy (anonymous):
yes thanks... pity the best i can give you is a medal...