Write a polynomial of least degree with roots -9 and -6. Write your answer using the variable x and in standard form with a leading coefficient of 1. ______

Find Root Factor: Find the factor for the root -9: (x - (-9)) = (x + 9).Multiply Factors: Find the factor for the root -6: (x - (-6)) = (x + 6).Combine Like Terms: Multiply the factors to get the polynomial: (x + 9)(x + 6) = x^2 + 6x + 9x + 54.Combine like terms: x^2 + 6x + 9x + 54 = x^2 + 15x + 54.

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Write a polynomial of least degree with roots $-9$ and $-6$ . $\newline$ Write your answer using the variable $x$ and in standard form with a leading coefficient of $1$ .

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Precalculus

Write a polynomial from its roots

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Q. Write a polynomial of least degree with roots

-9

and

-6

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

Find Root Factor: Find the factor for the root $-9$ : $(x - (-9)) = (x + 9)$ .
Multiply Factors: Find the factor for the root $-6$ : $(x - (-6)) = (x + 6)$ .
Combine Like Terms: Multiply the factors to get the polynomial: x + \(9)(x + $6$ ) = x^ $2$ + $6$ x + $9$ x + $54$ \
Combine Like Terms: Multiply the factors to get the polynomial: $(x + 9)(x + 6) = x^2 + 6x + 9x + 54$ .Combine like terms: $x^2 + 6x + 9x + 54 = x^2 + 15x + 54$ .