Write a polynomial of least degree with roots 2 and -9. Write your answer using the variable x and in standard form with a leading coefficient of 1. ______

Factor for root 2: The factor for the root 2 is (x - 2).Factor for root -9: The factor for the root -9 is (x - (-9)) which is (x + 9).Multiply the factors: Now, multiply the factors to get the polynomial: (x - 2)(x + 9).Perform the multiplication: Perform the multiplication: x(x + 9) - 2(x + 9) = x^2 + 9x - 2x - 18.Combine like terms: Combine like terms: x^2 + 7x - 18.

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Write a polynomial of least degree with roots $2$ 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

2

and

-9

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Factor for root $2$ : The factor for the root $2$ is $(x - 2)$ .
Factor for root $-9$ : The factor for the root $-9$ is $(x - (-9))$ which is $(x + 9)$ .
Multiply the factors: Now, multiply the factors to get the polynomial: $(x - 2)(x + 9)$ .
Perform the multiplication: Perform the multiplication: $x(x + 9) - 2(x + 9) = x^2 + 9x - 2x - 18$ .
Combine like terms: Combine like terms: $x^2 + 7x - 18$ .