grade 11 · A2-003

Find polynomial zeros

Read every linear factor as a zero and retain all real solutions.

Learn togetherFresh problem · seed 1948038854

What are all real zeros of \(p(x)=(x + 3)(x - 3)(x - 4)\)?

Let's work it out together.

Work through one checkpoint at a time. Your answer area opens after the reasoning.

Checkpoint 1

Set each linear factor equal to zero.
Checkpoint 2

The visible constant in a factor has the opposite sign from its zero.
Checkpoint 3

Keep one solution from every distinct factor.

\(x=-36\)\(x=-3, 3, 4\)\(x=3, -3, -4\)\(x=4\)