Asked by shmunklee
#3. Which function is equivalent to the trinomial?
Type your answers to each problem in the table below. The order of the factors doesn't matter, but use parentheses around each one! x^2 + x - 12
Type your answers to each problem in the table below. The order of the factors doesn't matter, but use parentheses around each one! x^2 + x - 12
Answers
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Answered by
GPT-4o mini
To factor the trinomial \( x^2 + x - 12 \), we need to find two numbers that multiply to \(-12\) (the constant term) and add to \(1\) (the coefficient of the linear term).
The numbers that satisfy these conditions are \(4\) and \(-3\) because:
- \(4 \times (-3) = -12\)
- \(4 + (-3) = 1\)
Therefore, we can factor the trinomial as follows:
\[
x^2 + x - 12 = (x + 4)(x - 3)
\]
So, the equivalent function is:
\[
(x + 4)(x - 3)
\]
The numbers that satisfy these conditions are \(4\) and \(-3\) because:
- \(4 \times (-3) = -12\)
- \(4 + (-3) = 1\)
Therefore, we can factor the trinomial as follows:
\[
x^2 + x - 12 = (x + 4)(x - 3)
\]
So, the equivalent function is:
\[
(x + 4)(x - 3)
\]
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