Question

Simplify completely

4x³-12x²+8 / -4x

a.−4x² − 3x + 2

b.−4x² + 3x + 2

c.4x⁴ + 3x³ − 2x²

d.4x² + 6x² − 4x

Answer 1

To simplify the expression 4x³ - 12x² + 8 / -4x, divide each term by -4x and simplify to get -x² + 3x - 2, corresponding to option (a).

Step-by-step explanation:

The student is asking how to simplify the expression 4x³ - 12x² + 8 / -4x. To simplify, we follow the steps:

1. Divide each term in the numerator by the term in the denominator.
2. Simplify each term obtained after the division.

Dividing each term in the numerator by -4x, we get:

• (4x³ / -4x) = -x²
• (-12x² / -4x) = +3x
• (8 / -4x) = -2

Putting these simplified terms together, we obtain the expression -x² + 3x - 2.

Therefore, the simplified form is -x² + 3x - 2, which coincides with option (a).