Write a polynomial of least degree with roots -8 and 9. Write your answer using the variable x and in standard form with a leading coefficient of 1. ______

Factorize -8: Root -8 gives factor (x + 8).Factorize 9: Root 9 gives factor (x - 9).Multiply factors: Multiply factors: (x + 8)(x - 9).Distribute: Distribute: x^2 - 9x + 8x - 72.Combine like terms: Combine like terms: x^2 - x - 72.

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Write a polynomial of least degree with roots $-8$ 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

-8

and

9

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Factorize $-8$ : Root $-8$ gives factor $(x + 8)$ .
Factorize $9$ : Root $9$ gives factor $(x - 9)$ .
Multiply factors: Multiply factors: $(x + 8)(x - 9)$ .
Distribute: Distribute: $x^2 - 9x + 8x - 72$ .
Combine like terms: Combine like terms: $x^2 - x - 72$ .

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Write a polynomial of least degree with roots −8-8−8 and 999.\newlineWrite your answer using the variable xxx and in standard form with a leading coefficient of 111.\newline______

Write a polynomial of least degree with roots $-8$ and $9$ . $\newline$ Write your answer using the variable $x$ and in standard form with a leading coefficient of $1$ . $\newline$ ______