Mathematics · Polynomial Functions · Topic 10 · 10 of 18
Zeros, Roots and X-Intercepts
Connect factors, solutions, zeros, and intercepts.
Zero-product principle
If a product equals zero, at least one factor must equal zero.
f(x)=(x+4)(x−1)²
x=−4 and x=1 are zeros; the graph has x-intercepts (−4,0) and (1,0).
ZeroAn input r for which f(r)=0.
Root or solutionThe same number viewed as a solution of f(x)=0.
X-interceptThe coordinate point (r,0).