Write a polynomial of least degree with roots -7 and -4. Write your answer using the variable x and in standard form with a leading coefficient of 1. ______

Factorize Root -7: Root -7 gives us the factor (x - (-7)) which simplifies to (x + 7).Factorize Root -4: Root -4 gives us the factor (x - (-4)) which simplifies to (x + 4).Multiply Factors: Now we multiply the factors (x + 7) and (x + 4) to get the polynomial.Combine Like Terms: (x + 7)(x + 4) = x^2 + 4x + 7x + 28.Combine like terms to get x^2 + 11x + 28.

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Write a polynomial of least degree with roots $-7$ 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

-7

and

-4

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Factorize Root $-7$ : Root $-7$ gives us the factor $(x - (-7))$ which simplifies to $(x + 7)$ .
Factorize Root $-4$ : Root $-4$ gives us the factor $(x - (-4))$ which simplifies to $(x + 4)$ .
Multiply Factors: Now we multiply the factors $(x + 7)$ and $(x + 4)$ to get the polynomial.
Combine Like Terms: $(x + 7)(x + 4) = x^2 + 4x + 7x + 28$ .
Combine Like Terms: x + 7)(x + 4) = x^2 + 4x + 7x + 28\.Combine like terms to get \$x^2 + 11x + 28.