Polynomials :( (1 Viewer)

[Forbidden.]

lol im new to de hole polynomial seene, culd ne of u guyz tell me do i need long division to solve polynomials? cause i use shorter method of dividing numbers.

i need help wif long division if it is necessary

for example plz throughly tell me (no skipping steps like you do in exams) how to solve this ponlynomial by dividing (3x²+2x+5) with (x+4) in the form P(x)=A(x)Q(x)+R(x), using long division, or better yet short division.

 

[Raginsheep]

Unless they specifically say that you need long division, its perfectly fine to use what ever method you choose.

 

[aljoz]

P(x) = 3x^2 + 2x + 5

dividing by (x + 4)

First u write down waht ur dividing by then think how u can make it match the original function P(x):

So P(x) = (x + 4)(3x )

Here u see wen u multiply 3x by x u get 3x^2 which is the first term in P(x).You then also have to multiply 3x by 4 >>> which gives u 12x.

Now u think of the next number to put in the brackets that will give u 2x keeping in mind that u already have 12x from what u first put down.

So in this case: P(x) = (x + 4)(3x - 10)

The -10 will give u 2x >>> since 12x - 10x = 2x

The final part of this is to multiply -10 by 4 which gives -40 but u do not want -40, u want +5 , so u get that by adding 45 (since 45-40=5). 45 becomes the remainder.

Therefore P(x) = (x + 4)(3x - 10) + 45

Hope that helps

 

[ronaldinho]

http://www.mathsisfun.com/long_division2.html

its the same with polynomails only in polynoamis u divide by the highest degree...

so in ur question instead of dividing by 25 u divide by x..

go to google and type in long division or polynomial long division.. they have good steps on how to do it!

gopodluck
cya!

 

[Forbidden.]

Don't worry guys, it took me like half an hour to figure out how to solve polynomials by long division.