Write a polynomial of least degree with roots 2 and -4. Write your answer using the variable x and in standard form with a leading coefficient of 1. ______

Find root linear factor: Find the linear factor for the root 2: (x - 2). Find root linear factor: Find the linear factor for the root -4: (x + 4). Multiply factors: Multiply the factors to get the polynomial: (x - 2)(x + 4). Perform multiplication: Perform the multiplication: x^2 + 4x - 2x - 8. Combine like terms: Combine like terms: x^2 + 2x - 8.

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Write a polynomial of least degree with roots $2$ and $-4$ . $\newline$ 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

2

and

-4

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Find root linear factor: Find the linear factor for the root $2$ : $(x - 2)$ .
Find root linear factor: Find the linear factor for the root $-4$ : $(x + 4)$ .
Multiply factors: Multiply the factors to get the polynomial: $(x - 2)(x + 4)$ .
Perform multiplication: Perform the multiplication: $x^2 + 4x - 2x - 8$ .
Combine like terms: Combine like terms: $x^2 + 2x - 8$ .