### Home > CCA2 > Chapter 8 > Lesson 8.2.3 > Problem 8-104

In parts (a) through (d) below, for each polynomial function *f*(*x*), the graph of*f*(*x*) is shown. Based on this information, state the number of linear and quadratic factors the factored form of its equation should have and how many real and complex (non-real) solutions*f*(*x*) = 0 might have. (Assume a polynomial function of the lowest possible degree for each one.)Example:

*f*(*x*) at right will have three linear factors, therefore three real roots and no complex roots. Homework Help ✎a.

b.

c.

d.

There will be three linear factors (one repeated), therefore two real (one single, one double) and zero complex (non-real) roots.

There will be one linear factor and one quadratic factor, therefore one real and two complex (non-real) roots.

There will be four linear factors, therefore four real and zero complex (non-real) roots.

There will be two linear and one quadratic factor, therefore two real and two complex (non-real) roots.