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Mathematics 8 Online
zarkam21:

help

zarkam21:

1 attachment
Vocaloid:

first step divide P(x) by (x-1) using polynomial long division

Vocaloid:

start by writing P(x) under a long division bar and (x-1) on the outside

Vocaloid:

|dw:1515376750062:dw|

Vocaloid:

now, just like regular long division, we see how many times x - 1 goes into P(x) we can look at the first terms of P(x) and x - 1 since the highest degree term of P(x) is x^3 and the highest degree term of x - 1 is x, we simply divide x^3/x = x^2 and write this at the top

Vocaloid:

|dw:1515376865021:dw|

Vocaloid:

now we multiply x^2 by (x-1) and bring the result down

Vocaloid:

|dw:1515376901815:dw|

Vocaloid:

we subtract, like so:

Vocaloid:

|dw:1515376927109:dw|

Vocaloid:

now, repeat the same steps figure out how many times (x-1) goes into (-6x^2 +15x) using the step described at the very beginning of this process

Vocaloid:

if something is unclear you are welcome to ask questions

zarkam21:

x^2-6x+9

zarkam21:

Sorry I was afk

zarkam21:

@Vocaloid

zarkam21:

@563blackghost

Vocaloid:

Good now factor that result

zarkam21:

(x-3)^2

zarkam21:

@Vocaloid

zarkam21:

@563blackghost

563blackghost:

one sec...im writing it out...

563blackghost:

1 attachment
Vocaloid:

yup so the final answer ends up being (x-1)(x-3)(x-3) once everything is put together just like ghost says

zarkam21:

SO D?

Vocaloid:

yup

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