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
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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|
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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
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zarkam21:
@563blackghost
Vocaloid:
Good now factor that result
zarkam21:
(x-3)^2
zarkam21:
@Vocaloid
zarkam21:
@563blackghost
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