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

Identify root -1 factor: The factor for the root -1 is (x - (-1)) which simplifies to (x + 1).Identify root 5 factor: The factor for the root 5 is (x - 5).Multiply factors: Now, we multiply the factors (x + 1) and (x - 5) to get the polynomial.Combine factors to get polynomial: (x + 1)(x - 5) = x^2 - 5x + x - 5 which simplifies to x^2 - 4x - 5.

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Write a polynomial of least degree with roots $-1$ and $5$ . $\newline$ 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

5

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Identify root $-1$ factor: The factor for the root $-1$ is $(x - (-1))$ which simplifies to $(x + 1)$ .
Identify root $5$ factor: The factor for the root $5$ is $(x - 5)$ .
Multiply factors: Now, we multiply the factors $(x + 1)$ and $(x - 5)$ to get the polynomial.
Combine factors to get polynomial: $x + 1)(x - 5) = x^2 - 5x + x - 5$ which simplifies to $x^2 - 4x - 5$ .