If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

Mathematics

2 answers:

Leona [12.6K]2 months ago

7 0

Answer:

Step-by-step explanation:

Let's examine option D momentarily. Calculating (a + b)x results in (2x - 4) + (x + 2) = 3x - 2, which is not a quadratic expression. Option C leads to the same outcome.

For option B, altering the numerator or denominator doesn't yield a quadratic expression.

The form (2x - 4)/(x + 2) cannot be manipulated to produce an x^2 term.

Therefore, option A remains.

Multiplying (2x - 4)(x + 2) gives 2x^2 + 4x - 4x - 8

which simplifies to 2x^2 - 8 after the middle terms cancel.

Despite the middle term elimination, the expression 2x^2 - 8 clearly remains quadratic.

babunello [11.8K]2 months ago

3 0

Answer:

Step-by-step explanation:

The correct expression is ab(x).

Since ab(x) equals (2x - 4)(x + 2) which factors to 2(x - 2)(x + 2),

this simplifies to 2(x^2 - 4) and finally to 2x^2 - 8, forming a quadratic function.

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