Write a polynomial of least degree with roots 5 and 6. Write your answer using the variable x and in standard form with a leading coefficient of 1. ______

Find root factor: Find the factor for the root 5: (x - 5).Multiply factors: Find the factor for the root 6: (x - 6).Combine like terms: Multiply the factors to get the polynomial: (x - 5)(x - 6) = x^2 - 6x - 5x + 30.Combine like terms: x^2 - 11x + 30.

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Write a polynomial of least degree with roots $5$ and $6$ . $\newline$ Write your answer using the variable $x$ and in standard form with a leading coefficient of $1$ . $\newline$ ______

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Precalculus

Write a polynomial from its roots

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Q. Write a polynomial of least degree with roots

5

and

6

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Find root factor: Find the factor for the root $5$ : $(x - 5)$ .
Multiply factors: Find the factor for the root $6$ : $(x - 6)$ .
Combine like terms: Multiply the factors to get the polynomial: $(x - 5)(x - 6) = x^2 - 6x - 5x + 30$ .
Combine like terms: Multiply the factors to get the polynomial: x - 5)(x - 6) = x^2 - 6x - 5x + 30\.Combine like terms: \$x^2 - 11x + 30.