Write a polynomial of least degree with roots 5 and -9. Write your answer using the variable x and in standard form with a leading coefficient of 1. ______

Factor Root 5: Root 5 gives us the factor (x - 5).Factor Root -9: Root -9 gives us the factor (x - (-9)) which is (x + 9).Multiply Factors: Now, we multiply the factors to get the polynomial: (x - 5)(x + 9).Perform Multiplication: Let's do the multiplication: x * x = x^2, x * 9 = 9x, -5 * x = -5x, and -5 * 9 = -45.Combine Like Terms: Combine like terms: x^2 + 9x - 5x - 45.Simplify Polynomial: Simplify: x^2 + 4x - 45.

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Write a polynomial of least degree with roots $5$ and $-9$ . $\newline$ Write your answer using the variable $x$ and in standard form with a leading coefficient of $1$ .

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Q. Write a polynomial of least degree with roots

5

and

-9

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

Factor Root $5$ : Root $5$ gives us the factor $(x - 5)$ .
Factor Root $-9$ : Root $-9$ gives us the factor $(x - (-9))$ which is $(x + 9)$ .
Multiply Factors: Now, we multiply the factors to get the polynomial: $(x - 5)(x + 9)$ .
Perform Multiplication: Let's do the multiplication: $x \times x = x^2$ , $x \times 9 = 9x$ , $-5 \times x = -5x$ , and $-5 \times 9 = -45$ .
Combine Like Terms: Combine like terms: $x^2 + 9x - 5x - 45$ .
Simplify Polynomial: Simplify: $x^2 + 4x - 45$ .