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what do they mean by "write a polynomial function in standard form with the given zeros and their multiplicities"

and explain how you would find the answer for
"1( multiplicity 2), -2 (multiplicity 3)"

2007-05-21 17:49:28 · 2 answers · asked by adel q 2 in Science & Mathematics Mathematics

2 answers

OK. If the polynomial is to have a root of a, then one of the factors of the polynomial must be
(x-a). If that root is to have multiplicity n, then it has to be repeated n times or
(x-a)^n. So, for your polynomial, it would be
((x-1)^2)*((x+2)^3)

HTH

Doug

2007-05-21 18:05:35 · answer #1 · answered by doug_donaghue 7 · 0 0

Standard form just means that the polynomial would look like ax^2 + bx +c for a quadratic, or ax^3 + bx^2 + cx + d for a cubic, and so on.
the multiplicity means that the root occurs more than once, a multiplicity of 2 means that there are two roots at that number.
For this question there are two roots at 1 and three roots at
-2 so the factored form of the polynomial would look like;
(x-1)(x-1)(x+2)(x+2)(x+2) now just multiply this out to get the standard form.

2007-05-22 01:02:20 · answer #2 · answered by Anonymous · 0 0

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