Write a polynomial of least degree with roots 8 and -2. Write your answer using the variable x and in standard form with a leading coefficient of 1. ______

Find Linear Factor (Root 8): Find the linear factor for the root 8; the factor is (x - 8). Find Linear Factor (Root -2): Find the linear factor for the root -2; the factor is (x + 2). Multiply Factors: Multiply the factors to get the polynomial: (x - 8)(x + 2). Perform Multiplication: Perform the multiplication: x^2 + 2x - 8x - 16. Combine Like Terms: Combine like terms: x^2 - 6x - 16.

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Write a polynomial of least degree with roots $8$ and $-2$ . $\newline$ 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

8

and

-2

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Find Linear Factor (Root $8$ ): Find the linear factor for the root $8$ ; the factor is $(x - 8)$ .
Find Linear Factor (Root $-2$ ): Find the linear factor for the root $-2$ ; the factor is $(x + 2)$ .
Multiply Factors: Multiply the factors to get the polynomial: $(x - 8)(x + 2)$ .
Perform Multiplication: Perform the multiplication: $x^2 + 2x - 8x - 16$ .
Combine Like Terms: Combine like terms: $x^2 - 6x - 16$ .