Write a polynomial of least degree with roots 3 and -6. Write your answer using the variable x and in standard form with a leading coefficient of 1. ______

Factor from Root 3: Root 3 gives us the factor (x - 3).Factor from Root -6: Root -6 gives us the factor (x + 6).Multiply the Factors: Now, we multiply the factors: (x - 3)(x + 6).Perform Multiplication: Let's do the multiplication: x*x + 6*x - 3*x - 3*6.Simplify the Expression: Simplify the expression: x^2 + 6x - 3x - 18.Combine Like Terms: Combine like terms: x^2 + 3x - 18.

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Write a polynomial of least degree with roots $3$ 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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Algebra 2

Write a polynomial from its roots

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Q. Write a polynomial of least degree with roots

3

and

-6

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Factor from Root $3$ : Root $3$ gives us the factor $(x - 3)$ .
Factor from Root $-6$ : Root $-6$ gives us the factor $(x + 6)$ .
Multiply the Factors: Now, we multiply the factors: $(x - 3)(x + 6)$ .
Perform Multiplication: Let's do the multiplication: $x*x + 6*x - 3*x - 3*6$ .
Simplify the Expression: Simplify the expression: $x^2 + 6x - 3x - 18$ .
Combine Like Terms: Combine like terms: $x^2 + 3x - 18$ .