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

Step-by-step explanation:

Consider D for a second. (a + b)x would give you (2x - 4) + (x + 2) = 3x-2 which is not a quadratic. C would do exactly the same thing.

There is nothing you can do to B that will alter the numerator or denominator that will produce a quadratic.

(2x - 4)/(x + 2)  What would you do to this to make an x^2 term?

So that leaves you with A.

(2x - 4)(x + 2) = 2x^2 + 2*2x - 4x - 8

2x^2 - 4x + 4x - 8

Even though the middle terms cancel, what is left, 2x^2 - 8, is still a quadratic.

The expression of quadratic equation states that it will have a equation with variable having power of order 2.

The correct option is (A) which will produce a quadratic function.

Given information:

The expressions:

Now we need to find from which of the given calculation we can give us a quadratic function.

As we know that the expression of quadratic equation states that it will have a equation with variable having power of order 2.

As looking at the options the addition and subtraction will not give the increment in order of the equation

Hence, multiplication will be required,

So the option left is (A)

Applying the given option we get:

Hence, the correct option is (A) which will produce a quadratic function.

For more information visit:

link