high School⏱ 4 min

Polynomial Roots

Where a polynomial crosses x-axis

○Not Started
x=-2x=1x=2.5
a = 1
r₁ = -2
r₂ = 1
r₃ = 2.5
p(x)=1(x−−2)(x−1)(x−2.5)p(x) = 1(x--2)(x-1)(x-2.5)

Each root r of a polynomial = x-intercept of the graph. Knowing the roots r₁,r₂,... lets you factor the polynomial as a(x-r₁)(x-r₂)...