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ch4aika [34]
3 years ago
13

Write a polynomial in standard form with zeros of 0 with a multiplicity of 2, and -1

Mathematics
1 answer:
UkoKoshka [18]3 years ago
4 0

Answer:

P(x)=x^3+x^2

Step-by-step explanation:

<u>Polynomials</u>

Given the roots or zeros of a polynomial as x1, x2, x3, ...xn and the leading factor a, the polynomial can be expressed as:

P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)

We are given the zeros of a polynomial as x1=0, x2=0 (multiplicity or zeros), and x3=-1, thus the polynomial is:

P(x)=a(x-0)(x-0)(x+1)

Operating:

P(x)=a.x.x(x+1)

P(x)=ax^2(x+1)

P(x)=ax^3+ax^2

Assuming a=1, the polynomial is

\mathbf{P(x)=x^3+x^2}

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