Math Is Fun Forum

yes.

Bob

I find the most likely source of error is sign mistakes.  You need to be careful with minus a minus.

Bob

I get that remainder. What did you get for the quotient?

Bob

Again it is a great help to have the page ref.

You have got the diameter correct as root(8)  + root(4) x root(2) = 2root(2)

So the radius is root(2) that's all you need as the shaded area is a circle so youcan forget the square now. You only needed it for that diagonal.

Bob

                                                                    x^2        -  0.5 x      -      1.75
                         ___________________________________________
2x^2 + x + 1    |   2x^4       + 0 x^3        -  3x^2        +       x      +     1

                            2x^4       +    x^3       +    x^2
                           __________________________

                                           -     x^3       -     4 x^2      +      x
                                           -     x^3       -  0.5 x^2       - 0.5 x   
                                          ______________________________
           
                                                              - 3.5  x^2      + 1.5  x     +     1
                                                              - 3.5  x^2      - 1.75 x      -     1.75
                                                             _____________________________

                                                                                   3.25 x        +    2.75   

Hhmmm not what the book says.

Try  (2x^4 - 3x^3 + x + 1) by (2x^2 + x + 1)

Bob

The circumference of a circle is 30.  Work out the area.

There are two steps here: (1) calculate the radius (2) calculate the area

If I round this off to 5 then

If I keep the full accuracy for r

That's quite a difference.  The error is made worse because r is being squared which magnifies the error.

Bob

I discovered I was good at geometry when, in the year 9 exams, I got 100%. Having been subjected to physical and verbal abuse by a 'teacher' who kept telling me I was useless, I realised I could be good at something and started to work seriously.

Post on!

Bob

Yes that looks right.

B

Bob

I've never heard of this , so I'm guessing. If you just add across like terms (eg add or subtract the x^3 terms) I suppose that is horizontal. If you write one polynomial under the other, carefullly lining up like terms (eg put the cube terms one under the other) perhaps that's the vertical method.

Bob

ps.  I've got to log off now as I've got chores to do .

You have to prove that the left hand side = the right hand side.

So writing that they are equal is a bit ahead of yourself.

Rather start with LHS =  (m^2 - n^2)^2 + (2mn)^2 , expand and simplfy.

Finally factorise, hopefuly ending up with the RHS.

Bob

Yes,

Bob