Author Topic: Help please on polynomials (Read 1515 times) Tweet Share

livelikeuwanna · « **on:** November 30, 2008, 02:43:06 pm »

Whats:

2x^4-5x^3+2x^2+2x-5 Divided by x^2-2x

With working out too please.
Thanks

Damo17 · « **Reply #1 on:** November 30, 2008, 03:07:42 pm »

Quote from: livelikeuwanna on November 30, 2008, 02:43:06 pm

Whats:

2x^4-5x^3+2x^2+2x-5 Divided by x^2-2x

With working out too please.
Thanks

$2x^2-x$
$x^2-2x\sqrt{2x^4-5x^3+2x^2+2x-5}$
$2x^4-4x^3$
$-x^3+2x^2$
$-x^3+2x^2$
$0x^2+2x$
$0x^2-0x$
$2x-5$
$\therefore$ $\frac{2x^4-5x^3+2x^2+2x-5}{x^2-2x}$ $= (2x^2-x)+ \frac{2x-5}{x^2-2x}$

I think this is it. The first time i've done a question like this.

livelikeuwanna · « **Reply #2 on:** November 30, 2008, 03:20:27 pm »

Quote from: Damo17 on November 30, 2008, 03:07:42 pm

Quote from: livelikeuwanna on November 30, 2008, 02:43:06 pm
Whats:

2x^4-5x^3+2x^2+2x-5 Divided by x^2-2x

With working out too please.
Thanks

$2x^2-x$
$x^2-2x\sqrt{2x^4-5x^3+2x^2+2x-5}$
$2x^4-4x^3$
$-x^3+2x^2$
$-x^3+2x^2$
$0x^2+2x$
$0x^2-0x$
$2x-5$
$\therefore$ $\frac{2x^4-5x^3+2x^2+2x-5}{x^2-2x}$ $= (2x^2-x)+ \frac{2x-5}{x^2-2x}$

I think this is it. The first time i've done a question like this.

Thank you very much :]

livelikeuwanna · « **Reply #3 on:** November 30, 2008, 03:24:55 pm »

Oh and these too please:

3x^5-2x^4-3x^3+x^2-x-1 divided by x+2

x^4-2x^2+5x+4 divide that by x-3

Again, with working out.
Thanks again in advance ^^

Damo17 · « **Reply #4 on:** November 30, 2008, 03:39:18 pm »

Quote from: livelikeuwanna on November 30, 2008, 03:24:55 pm

Oh and this too please:

3x^5-2x^4-3x^3+x^2-x-1 divided by x+2

Again, with working out.
Thanks again in advance ^^

$3x^4-8x^3+13x^2-25x+49$
$x+2\sqrt{3x^5-2x^4-3x^3+x^2-x-1}$
$3x^5+6x^4$
$-8x^4-3x^3$
$-8x^4-16x^3$
$13x^3+x^2$
$13x^3+26x^2$
$-25x^2-x$
$-25x^2-50x$
$49x-1$
$49x+98$
$-99$

$\therefore$ $=$ $(3x^4-8x^3+13x^2-25x+49)$ $-$ $\frac {99}{x+2}$

livelikeuwanna · « **Reply #5 on:** November 30, 2008, 04:03:27 pm »

And finally:

x^4-2x^2+5x+4 divide that by x-3

Damo17 · « **Reply #6 on:** November 30, 2008, 04:19:42 pm »

Quote from: livelikeuwanna on November 30, 2008, 04:03:27 pm

And finally:

x^4-2x^2+5x+4 divide that by x-3

$x^3+3x^2+7x+26$
$x-3\sqrt{x^4+0x^3-2x^2+5x+4}$
$x^4-3x^3$
$3x^3-2x^2$
$3x^3-9x^2$
$7x^2+5x$
$7x^2-21x$
$26x+4$
$26x-78$
$82$

$\therefore =$ $(x^3+3x^2+7x+26)$ + $\frac{82}{x-3}$

took sooo long because of latex!

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Author Topic: Help please on polynomials (Read 1515 times) Tweet Share

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Help please on polynomials

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