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Mathematics 25 Online
OpenStudy (anonymous):

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

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

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

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...

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