Mathematics: Find the polynomial function with the following roots: -1 of multiplicity 2; and 3.

Find the polynomial function with the following

Ответ:

Lindy4886

14.03.2022

To the risk of being redundant.

multiplicity of a root means, is there many times, so a multiplicitiy of 2 on -1 means is there twice, so,

$\bf \begin{cases}
x=-1\implies &x+1=0\\
x=-1\implies &x+1=0\\
x=3\implies &x-3=0
\end{cases}
\\\\\\
(x+1)(x+1)(x-3)=\stackrel{\textit{original polynomial}}{y}
\\\\\\
(x+1)^2(x-3)=y\implies (x^2+2x+1)(x-3)=y
\\\\\\
x^3+2x^2+x-3x^2-6x-3=y\implies x^3-x^2-5x-3=y$

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Ответ:

LatishaSW2795

22.07.2020

Mathematics

Step-by-step explanation:

-2/3 * 5 1/6 step 1correct

(-2/3 * 5) + (-2/3 * 1/6)his error is here...it should be like I have written it, but Calvin is getting his addition and multiplication mixed up

-10/3 + (-1/9) =

-30/9 - 1/9 =

-31/9 =

- 3 4/9

so he messed up in step 2

he is doing this : (-2/3 + 5) * (-2/3 + 1/6)...when he should be doing this :

(-2/3 * 5) + (-2/3 * 1/6)

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Find the polynomial function with the following roots: -1 of multiplicity 2; and 3.

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