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

Identify root -1: The factor for the root -1 is (x - (-1)) or (x + 1).Identify root -4: The factor for the root -4 is (x - (-4)) or (x + 4).Multiply factors: Now, multiply the factors to get the polynomial: (x + 1)(x + 4).Perform multiplication: Perform the multiplication: x(x + 4) + 1(x + 4) = x^2 + 4x + x + 4.Combine like terms: Combine like terms: x^2 + 4x + x + 4 = x^2 + 5x + 4.

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Write a polynomial of least degree with roots $-1$ 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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Precalculus

Write a polynomial from its roots

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Q. Write a polynomial of least degree with roots

-1

and

-4

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Identify root $-1$ : The factor for the root $-1$ is $(x - (-1))$ or $(x + 1)$ .
Identify root $-4$ : The factor for the root $-4$ is $(x - (-4))$ or $(x + 4)$ .
Multiply factors: Now, multiply the factors to get the polynomial: $(x + 1)(x + 4)$ .
Perform multiplication: Perform the multiplication: $x(x + 4) + 1(x + 4) = x^2 + 4x + x + 4$ .
Combine like terms: Combine like terms: $x^2 + 4x + x + 4 = x^2 + 5x + 4$ .