Find the remainder when the polynomial f(x)= 12x^3-13x^2-5x+7 is divided (3x+2)
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Answered by
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"Remainder is found by replacing x by b/a in the polynomial, if dividing by (ax - b)"
This is a handy tool to use even if the jargon and notation of a proof seem hard.
It works because replacing x by b/a in factors (ax - b) makes them zero, so that only the remainder is left. It is easier to see this with numbers.
7 divided by 2 = 3 and 1/2 so
7 = 3 x 2 + 1 Here the remainder is 1
If we make all the factors of 2 disappear,
(which happens when substituting b/a)
the only thing left is the remainder 1.
This is a handy tool to use even if the jargon and notation of a proof seem hard.
It works because replacing x by b/a in factors (ax - b) makes them zero, so that only the remainder is left. It is easier to see this with numbers.
7 divided by 2 = 3 and 1/2 so
7 = 3 x 2 + 1 Here the remainder is 1
If we make all the factors of 2 disappear,
(which happens when substituting b/a)
the only thing left is the remainder 1.
Answered by
160
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