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)

Answer 1

\(\large\color{black}{ \displaystyle a(x)=mx+b }\)
\(\large\color{black}{ \displaystyle b(x)=cx+a }\)

(m, b, c, & a are just some constants)

you need to produce a quadratic function:
Quadratic function is in the form of: \(\large\color{black}{ \displaystyle y=ax^2+bx+c}\)

Answer 2

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