A2 MATHS

[preity]

hi..could someone help me with this question....
1)The polynomial x^4+4x^2+x+a is denoted by p(x).It is given that x^2+x+2 is a factor of p(x).Find the value of a and the other quadratic factor of p(x).
I need someone to show me the way using lonG division...thanks

[Ghost Of Highbury]

are u sure if the q is correct....because x^2 + x + 2 has no real roots.

[preity]

tat's wat the question says...

[Ghost Of Highbury]

have u learnt to express a non-real root in the form of 'i' ??

[preity]

ermm... the question is from algebra the 1st topic...

[Ghost Of Highbury]

ya...it is from algebra...but when dey r asking abt th roots of the quadratic equation

u get --> 2.64575131 i ......that is exactly y i asked have u learnt 'i' ??

[nid404]

You can find out roots using the discriminant too

[loggerhead]

i wrote it up on a open office document because it was easier so I'm not sure if everything will line up on Microsoft Office

[astarmathsandphysics]

I will do this question when i get to a pc in am hour.

[astarmathsandphysics]

Here is the pdf version of the above

[astarmathsandphysics]

and the ms office version

[preity]

thanks astar...i've got another question it's from the may/june 03 paper...|x-2|less than 3-2x..my question is do i have to square both sides?

[loggerhead]

no you don't but you can.

the way i like to do it is find the CV's by solving the equations:

x - 2 = 3 - 2x         and        x - 2 = - 3 + 2x


both this method and squaring give the same CV's but this way is faster as there is no quadratic.

[astarmathsandphysics]

You are correct. I also prefer this way.