KaileeY391012 KaileeY391012
  • 25-10-2022
  • Mathematics
contestada

Find a polynomial f (x) of degree 3 that has the following zeros.6 (multiplicity 2), -7Leave your answer in factored form.

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PennR604205 PennR604205
  • 25-10-2022

If a polynomial has a zero of "a" with multilicity b, the factor would be:

[tex](x-a)^b[/tex]

So, accordingly the factors would be:

[tex]\begin{gathered} (x-6)^2 \\ (x-(-7))^1 \end{gathered}[/tex]

They are

[tex]\begin{gathered} (x-6)^2 \\ (x+7) \end{gathered}[/tex]

We can write out the polynomial, f(x), as:

[tex]f(x)=(x-6)^2(x+7)[/tex]

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