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OverLord2011 [107]
3 years ago
11

Hi, I really need help with this question please, dividing x^3+5x^2+x−2 by x + 3

Mathematics
1 answer:
MaRussiya [10]3 years ago
8 0
3x+10x+x-2/x+3
14x-2/x+3
7(2x-1)/x+3
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Answer:

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Step-by-step explanation:

Let f(x) be the polynomial function of minimum degree with real coefficients whose zeros are 5, -3, and -1 + 3i be f(x).

By the complex conjugate property of polynomials, -1-3i is also a root of this polynomial.

Therefore the polynomial in factored form is f(x)=(x-5)(x+3)(x-(-1+3i))(x-(-1+3i))

We expand to get:f(x)=(x^2-2x-15)(x^2+2x+10)

We expand further to get:\

f(x)=x^4-9x^2-50x-150

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