Write a polynomial of least degree with roots 6 and -4. Write your answer using the variable x and in standard form with a leading coefficient of 1. ______

Factor Root 6: Root 6 gives us the factor (x - 6).Factor Root -4: Root -4 gives us the factor (x + 4).Multiply Factors: Now, we multiply the factors: (x - 6)(x + 4).Perform Multiplication: Let's do the multiplication: x * x + x * 4 - 6 * x - 6 * 4.Simplify Expression: Simplify the expression: x^2 + 4x - 6x - 24.Combine Like Terms: Combine like terms: x^2 - 2x - 24.

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Write a polynomial of least degree with roots $6$ and $-4$ . $\newline$ 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

6

and

-4

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Factor Root $6$ : Root $6$ gives us the factor $(x - 6)$ .
Factor Root $-4$ : Root $-4$ gives us the factor $(x + 4)$ .
Multiply Factors: Now, we multiply the factors: $(x - 6)(x + 4)$ .
Perform Multiplication: Let's do the multiplication: $x \times x + x \times 4 - 6 \times x - 6 \times 4$ .
Simplify Expression: Simplify the expression: $x^2 + 4x - 6x - 24$ .
Combine Like Terms: Combine like terms: $x^2 - 2x - 24$ .