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netineya [11]
3 years ago
7

A degree 4 polynomial P(x) with integer coefficients has zeros 5 i and 3, with 3 being a zero of multiplicity 2. Moreover, the c

oefficient of x^4 is 1. Find the polynomial.
Mathematics
1 answer:
Sergio039 [100]3 years ago
6 0

Multiplicity is how many times the root repeats

roots r1 and r2 of a polynomial factor to

(x-r1)(x-r2)

so 3 multiplicty 2 means (x-3)^2 is in the factorization of that polynomial


also, for a polynomial with real coefients, if a+bi is a roots, a-bi is also a root

5i is a root, therefor -5i is a root as well


roots are

(x-5i)(x+5i)(x-3)^2

if we expand

x^4-6x^3+34x^2-150x+225

the polynomial is

f(x)=x^4-6x^3+34x^2-150x+225


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Answer:

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Step-by-step explanation:

9x - 4 + 3x

Adding 9x & 3x gives 12x.

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Now taking 4 common from both the terms , we get :-

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3 years ago
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Gekata [30.6K]

Answer:

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Answer:

Answer- number D

Step-by-step explanation:

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