#polynomials

41 messages · Page 1 of 1 (latest)

reef crater
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f(x) is a polynomial in x. when f(x) is divided by (x-2), the remainder obtained is 3, when the same polynomial is divided by (x-3), the remainder is 2. what is the remainder when f(x) is divided by (x-2)(x-3)

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@safe glacier

safe glacier
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do you know how to divide polynomials?

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like

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the long division method

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if you dont you wont really learn anything from this

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just let the polynomial = ?

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or f(x)

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or whatever

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?/(x-2) = ? + 3/(x-2)

reef crater
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yeah

safe glacier
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?/(x-3) = ? + 2/(x-3)

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simultaneously solve

reef crater
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i can write f(2) = 3 and f(3) = 2right?

safe glacier
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wdym

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thats not what the remainder is

frail orchid
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Remainder theorem

reef crater
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when you divide by x-2

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youre basically suvbstituting x=2

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and r = 3

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so f(2) = 3 right?

safe glacier
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ehhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

reef crater
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o

safe glacier
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not sure about that

reef crater
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ic

reef crater
frail orchid
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Take remainder of f(x) divided by x-2)(x-3 as ax+b

reef crater
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yes

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and then?

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OHHHH

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then i can write ax + b =3

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i think

safe glacier
reef crater
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2a + b =3

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and 3a + b =2

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a = 1 and b = 5

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ty @frail orchid @safe glacier

median scrollBOT
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@reef crater has given 1 rep to @errant relic @frail orchid

safe glacier
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np

reef crater
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