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. ______

Find root 1 factor: Find the factor for the root 1: (x - 1).Find root -4 factor: Find the factor for the root -4: (x - (-4)) = (x + 4).Multiply factors: 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 + 3x - 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

______

Find root $1$ factor: Find the factor for the root $1$ : $(x - 1)$ .
Find root $-4$ factor: Find the factor for the root $-4$ : $(x - (-4)) = (x + 4)$ .
Multiply factors: 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: $x^2 + 3x - 4$ .