Question

If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?

(ab)(x)
(a/b)(x)
(a – b)(x)
(a + b)(x)

Answer 1

I hope this helps you

Answer 2

Option (a) is correct.

a(x)b(x) = (ab)(x)

To produce a quadratic equation the two linear equation must be multiply.

Explanation:

Given : a(x) and b(x) are linear functions with one variable.

We have to choose from the given option the correct expression that will produce a quadratic equation.

Quadratic equation is an equation which is in the form of
`ax^2+bx+c` where
`a\\eq0`

Since given a(x) and b(x) are linear equation in one variables so to get square term we must multiply the two linear equations.

Let a(x)=3x+1

and b(x)= 8x+1

then when we multiply we get,

`a(x)* b(x)=(3x+1)* (8x+1)=24x^2+11x+1`

Thus, To produce a quadratic equation the two linear equation must be multiply.

Thus, a(x)b(x) = (ab)(x) is correct.

Option (a) is correct.