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Write a polynomial of least degree with roots $9$ and $-7$ . $\newline$ Write your answer using the variable $x$ and in standard form with a leading coefficient of $1$ . $\newline$ ______

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Write a polynomial from its roots

Full solution

Q. Write a polynomial of least degree with roots

9

and

-7

.

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

.

\newline

______

Identify Roots: question_prompt: Write a polynomial with roots $9$ and $-7$ using $x$ in standard form with a leading coefficient of $1$ .
Determine Factors: The factor for root $9$ is $(x - 9)$ .
Find Factored Form: The factor for root $-7$ is $(x + 7)$ .
Multiply Factors: The factored form of the polynomial is $(x - 9)(x + 7)$ .
Combine Like Terms: Multiply the factors: $(x - 9)(x + 7) = x^2 + 7x - 9x - 63$ .
Combine Like Terms: Multiply the factors: $(x - 9)(x + 7) = x^2 + 7x - 9x - 63$ . Combine like terms: $x^2 + 7x - 9x - 63 = x^2 - 2x - 63$ .

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