Write a polynomial of least degree with roots 8 and -5. 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 -5: Find the linear factor for the root -5; the factor is (x + 5). Multiply factors: Multiply the factors to get the polynomial: (x - 8)(x + 5). Perform multiplication: Perform the multiplication: x^2 + 5x - 8x - 40. Combine like terms: Combine like terms: x^2 - 3x - 40.

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Write a polynomial of least degree with roots $8$ and $-5$ . $\newline$ 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

-5

\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 $-5$ : Find the linear factor for the root $-5$ ; the factor is $(x + 5)$ .
Multiply factors: Multiply the factors to get the polynomial: $(x - 8)(x + 5)$ .
Perform multiplication: Perform the multiplication: $x^2 + 5x - 8x - 40$ .
Combine like terms: Combine like terms: $x^2 - 3x - 40$ .