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

Identify root -1 factor: The factor for the root -1 is (x - (-1)) which simplifies to (x + 1).Identify root -9 factor: The factor for the root -9 is (x - (-9)) which simplifies to (x + 9).Multiply factors: Now, multiply the factors (x + 1) and (x + 9) to get the polynomial. (x + 1)(x + 9) = x^2 + 9x + x + 9Combine like terms: Combine like terms in the expression x^2 + 9x + x + 9. x^2 + 10x + 9

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

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Precalculus

Write a polynomial from its roots

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Q. Write a polynomial of least degree with roots

-1

and

-9

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Identify root $-1$ factor: The factor for the root $-1$ is $(x - (-1))$ which simplifies to $(x + 1)$ .
Identify root $-9$ factor: The factor for the root $-9$ is $(x - (-9))$ which simplifies to $(x + 9)$ .
Multiply factors: Now, multiply the factors $(x + 1)$ and $(x + 9)$ to get the polynomial. $(x + 1)(x + 9) = x^2 + 9x + x + 9$
Combine like terms: Combine like terms in the expression $x^2 + 9x + x + 9$ . $\newline$ $x^2 + 10x + 9$