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 Linear Factor: Find the linear factor for the root 9; the factor is (x - 9). Multiply Factors: Find the linear factor for the root -6; the factor is (x + 6). Perform Multiplication: Multiply the factors to get the polynomial: (x - 9)(x + 6). Combine Like Terms: Perform the multiplication: x^2 + 6x - 9x - 54. Combine like terms: x^2 - 3x - 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 $1$ . $\newline$ ______

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Algebra 2

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

\newline

______

Find Linear Factor: Find the linear factor for the root $9$ ; the factor is $(x - 9)$ .
Multiply Factors: Find the linear factor for the root $-6$ ; the factor is $(x + 6)$ .
Perform Multiplication: Multiply the factors to get the polynomial: $(x - 9)(x + 6)$ .
Combine Like Terms: Perform the multiplication: $x^2 + 6x - 9x - 54$ .
Combine Like Terms: Perform the multiplication: $x^2 + 6x - 9x - 54$ . Combine like terms: $x^2 - 3x - 54$ .