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

Factor for Root 1: What is the factor for the root 1? (x - 1)Factor for Root 8: What is the factor for the root 8? (x - 8)Multiply Factors: Multiply the factors to get the polynomial: (x - 1)(x - 8)Perform Multiplication: Perform the multiplication: x^2 - 8x - x + 8Combine Like Terms: Combine like terms: x^2 - 9x + 8

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Write a polynomial of least degree with roots $1$ and $8$ . $\newline$ 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

1

and

8

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Factor for Root $1$ : What is the factor for the root $1$ ? $(x - 1)$
Factor for Root $8$ : What is the factor for the root $8$ ? $(x - 8)$
Multiply Factors: Multiply the factors to get the polynomial: $(x - 1)(x - 8)$
Perform Multiplication: Perform the multiplication: $x^2 - 8x - x + 8$
Combine Like Terms: Combine like terms: $x^2 - 9x + 8$