To determine the two integers, r and s, for the trinomial x^2 + x - 12, we need to find two numbers that multiply to the constant term (-12) and add up to the coefficient of the middle term ($

Question

To determine the two integers, r and s, for the trinomial x^2 + x - 12, we need to find two numbers that multiply to the constant term (-12) and add up to the coefficient of the middle term ($

Asked on April 9, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-04-09T12:13:59.824Z

3.2.2 To determine the two integers, $r$ and $s$, for the trinomial $x^2 + x - 12$, we need to find two numbers that multiply to the constant term ($-12$) and add up to the coefficient of the middle term ($1$). | Factors of $-12$ | Product of the two factors | Sum of the two factors | Result | | :--------------- | :------------------------- | :--------------------- | :----- | | $1, -12$ | $-12$ | $-11$ | | | $-1, 12$ | $-12$ | $11$ | | | $2, -6$ | $-12$ | $-4$ | | | $-2, 6$ | $-12$ | $4$ | | | $3, -4$ | $-12$ | $-1$ | | | $\mathbf{-3, 4}$ | $\mathbf{-12}$ | $\mathbf{1}$ | Correct | The two integers are $\boxed{\mathbf{-3 \text{ and } 4}}$. 3.2.3 To factorize $x^2 + x - 12$: | Step | Mathematical steps | Explanation | | :--- | :-------------------------------- | 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Accepted Answer · 2026-04-09T12:13:59.824Z

3.2.2 To determine the two integers, $r$ and $s$, for the trinomial $x^2 + x - 12$, we need to find two numbers that multiply to the constant term ($-12$) and add up to the coefficient of the middle term ($1$). | Factors of $-12$ | Product of the two factors | Sum of the two factors | Result | | :--------------- | :------------------------- | :--------------------- | :----- | | $1, -12$ | $-12$ | $-11$ | | | $-1, 12$ | $-12$ | $11$ | | | $2, -6$ | $-12$ | $-4$ | | | $-2, 6$ | $-12$ | $4$ | | | $3, -4$ | $-12$ | $-1$ | | | $\mathbf{-3, 4}$ | $\mathbf{-12}$ | $\mathbf{1}$ | Correct | The two integers are $\boxed{\mathbf{-3 \text{ and } 4}}$. 3.2.3 To factorize $x^2 + x - 12$: | Step | Mathematical steps | Explanation | | :--- | :-------------------------------- | 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To determine the two integers, r and s, for the trinomial x^2 + x - 12, we need to find two numbers that multiply to the constant term (-12) and add up to the coefficient of the middle term ($

To determine the two integers, r and s, for the trinomial x^2 + x - 12, we need to find two numbers that multiply to the constant term (-12) and add up to the coefficient of the middle term ($

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To determine the two integers, r and s, for the trinomial x^2 + x - 12, we need to find two numbers that multiply to the constant term (-12) and add up to the coefficient of the middle term ($

To determine the two integers, r and s, for the trinomial x^2 + x - 12, we need to find two numbers that multiply to the constant term (-12) and add up to the coefficient of the middle term ($

Need help with your own homework?

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