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

a. (ab)(x)
b. (a/b)(x)
c. (a – b)(x)
d. (a + b)(x)

Question

If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?

a. (ab)(x)
b. (a/b)(x)
c. (a – b)(x)
d. (a + b)(x)

solomonzelman · Answer

$\large\color{black}{ \displaystyle a(x)=mx+b }$ 
$\large\color{black}{ \displaystyle b(x)=cx+a }$ 

(m, b, c, & a     are just some constants)

you need to produce a quadratic function:
Quadratic function is in the form of:  $\large\color{black}{ \displaystyle y=ax^2+bx+c}$

solomonzelman · Answer

So, which of the following operations do you think would make a second degree (quadratic) function