Academic Team Math Practice Test 2025 – 400 Free Practice Questions to Pass the Exam

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Question: 1 / 400

When reducing the expression (3x^2 + 10x - 8)/(5x^2 + 19x - 4), what is the result?

(3x - 2)/(5x - 1)

To simplify the expression $(3x^2 + 10x - 8)/(5x^2 + 19x - 4)$, we start by factoring both the numerator and the denominator.

For the numerator $3x^2 + 10x - 8$, we need to find two numbers that multiply to $3 \cdot -8 = -24$ and add up to $10$. Those numbers are $12$ and $-2$. We can then break down the middle term:

\[3x^2 + 12x - 2x - 8\]

Now, we can regroup and factor by grouping:

\[3x(x + 4) - 2(x + 4)\]

This yields:

\[(3x - 2)(x + 4)\]

For the denominator $5x^2 + 19x - 4$, we look for two numbers that multiply to $5 \cdot -4 = -20$ and add up to $19$. These numbers are $20$ and $-1$:

\[5x^2 + 20x - x - 4\]

We can now regroup

Get further explanation with Examzify DeepDiveBeta

(3x + 2)/(5x + 1)

(3x)/(5x - 1)

(3x - 3)/(5x + 4)

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Academic Team Math Practice Test 2025 – 400 Free Practice Questions to Pass the Exam

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