Write a polynomial of least degree with roots 2 and -3. Write your answer using the variable x and in standard form with a leading coefficient of 1. ______

Find linear factor root 2: Find the linear factor for the root 2; the factor is (x - 2). Find linear factor root -3: Find the linear factor for the root -3; the factor is (x + 3). Multiply factors for polynomial: Multiply the factors to get the polynomial: (x - 2)(x + 3). Perform multiplication: Perform the multiplication: x * x + x * 3 - 2 * x - 2 * 3. Combine like terms: Combine like terms: x^2 + 3x - 2x - 6. Simplify expression: Simplify the expression: x^2 + x - 6.

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Write a polynomial of least degree with roots $2$ and $-3$ . $\newline$ 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

2

and

-3

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

______

Find linear factor root $2$ : Find the linear factor for the root $2$ ; the factor is $(x - 2)$ .
Find linear factor root $-3$ : Find the linear factor for the root $-3$ ; the factor is $(x + 3)$ .
Multiply factors for polynomial: Multiply the factors to get the polynomial: $(x - 2)(x + 3)$ .
Perform multiplication: Perform the multiplication: $x \times x + x \times 3 - 2 \times x - 2 \times 3$ .
Combine like terms: Combine like terms: $x^2 + 3x - 2x - 6$ .
Simplify expression: Simplify the expression: $x^2 + x - 6$ .