Write a polynomial of least degree with roots 3 and 9. 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 3; the factor is (x - 3). Multiply Factors: Find the linear factor for the root 9; the factor is (x - 9). Perform Multiplication: Multiply the factors to get the polynomial: (x - 3)(x - 9). Combine Like Terms: Perform the multiplication: x^2 - 9x - 3x + 27. Combine like terms: x^2 - 12x + 27.

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Write a polynomial of least degree with roots $3$ 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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Algebra 2

Write a polynomial from its roots

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Q. Write a polynomial of least degree with roots

3

and

9

\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 $3$ ; the factor is $(x - 3)$ .
Multiply Factors: Find the linear factor for the root $9$ ; the factor is $(x - 9)$ .
Perform Multiplication: Multiply the factors to get the polynomial: $(x - 3)(x - 9)$ .
Combine Like Terms: Perform the multiplication: $x^2 - 9x - 3x + 27$ .
Combine Like Terms: Perform the multiplication: $x^2 - 9x - 3x + 27$ . Combine like terms: $x^2 - 12x + 27$ .