Ask your own question, for FREE!
Mathematics 21 Online
OpenStudy (unbelievabledreams):

Help with math question?

OpenStudy (anonymous):

omgg

OpenStudy (anonymous):

sorry no help

Nnesha (nnesha):

hmm looks like we should use p/q method

Nnesha (nnesha):

\[\large\rm \frac{ p }{ q }=\frac{ constant }{ leading ~coefficient } \] constant is what in this equation ? and leading coefficient is what ?

OpenStudy (anonymous):

uum yaa

OpenStudy (unbelievabledreams):

1/5 ?

Nnesha (nnesha):

well we write with plus minus sign \[\huge\rm \frac{ \pm 1 }{ \pm 5 }\] btw we need factor of constant term and factor of leading coefficient factors of 1 is just 1 and factors of 5 is just 1 and 5 \[\frac{ \pm 1 }{ \pm1 , \pm 5}\] now we should use the synthetic division to find which one is correct zero

Nnesha (nnesha):

pm 1/ pm 1 is one \[\frac{ \pm 1}{ \pm 1, \pm 5 } =\frac{ \pm1 }{ \pm 1 } , \frac{ \pm 1 }{ \pm 5} \] =\[\pm 1 , \frac{\pm 1}{\pm 5}\]

Nnesha (nnesha):

you can use synthetic division `or` substitute x for each number if you get 0 as a result then the number u sub would be the zero

OpenStudy (unbelievabledreams):

So the factor will be f(x)=2(x+1/5)(x-1)?

Nnesha (nnesha):

we are looking for zeros right ?

Nnesha (nnesha):

hmm hmmm it's not factorable that's why we were using p/q method hmm

OpenStudy (unbelievabledreams):

I am so confused. How I solve with synthetic division to find the zeros

Nnesha (nnesha):

well forget the synthetic division sub x for each zero if you get 0 then the number u substituted would be the zero

Nnesha (nnesha):

\[\pm 1 , \frac{\pm 1}{\pm 5} \]\[-1, 1 , \frac{1}{5} , -\frac{1}{5}\] sub x for each number

Nnesha (nnesha):

lets try first one \[0=5(1)^3+6(1)^2+6(1)+1\]zeros is a point where the graph intersect the x-axis when y = 0 so that's why i replaced f(x) which is same as y with 0 both sides are equal ?? or don't sub y for 0\[\rm f(x)=y=5(1)^3+6(1)^2+6(1)+1\] solve right side do you get zero if yes then 1 is one of the zero

Nnesha (nnesha):

make sense ?

OpenStudy (unbelievabledreams):

Yes, So the 1 is not one of the zero

OpenStudy (unbelievabledreams):

So the only answer is -1/5

Nnesha (nnesha):

yes right :=))

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!