Write a polynomial of least degree with roots 8 and -7. Write your answer using the variable x and in standard form with a leading coefficient of 1. ______

Identify root 8: For root 8, the linear factor is (x - 8).Identify root -7: For root -7, the linear factor is (x + 7).Determine factored form: The factored form of the polynomial is (x - 8)(x + 7).Multiply the factors: Now, multiply the factors: (x - 8)(x + 7) = x^2 + 7x - 8x - 56.Combine like terms: Combine like terms: x^2 + 7x - 8x - 56 = x^2 - x - 56.

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Write a polynomial of least degree with roots $8$ 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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Algebra 2

Write a polynomial from its roots

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Q. Write a polynomial of least degree with roots

8

and

-7

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Identify root $8$ : For root $8$ , the linear factor is $(x - 8)$ .
Identify root $-7$ : For root $-7$ , the linear factor is $(x + 7)$ .
Determine factored form: The factored form of the polynomial is $(x - 8)(x + 7)$ .
Multiply the factors: Now, multiply the factors: $(x - 8)(x + 7) = x^2 + 7x - 8x - 56$ .
Combine like terms: Combine like terms: $x^2 + 7x - 8x - 56 = x^2 - x - 56$ .