Question

Which type of function is the result of multiplying a quadratic function and a linear function?

Answer 1

A cubic function

Explanation:

When you multiply powers of a same base, the exponents sum. So, if we multiply a function like
`ax^2+bx+c` with a function like
`dx+e` we get

`(ax^2+bx+c)(dx+e) = adx^3+bdx^2+cdx+aex^2+bex+ce = adx^3+(bd+ae)x^2+(cd+be)x+ce`

which is a cubic function, because it is written in the form

`\alpha x^3+\beta x^3 + \gamma x + \delta`