Polynomials — Formula Sheet

p(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀

p(a) = 0 ⟹ a is a zero of p(x)

Zero of ax + b = −b/a

When p(x) is divided by (x − a), Remainder = p(a)

Finding zeros involves solving p(x) = 0

Linear polynomial has exactly one zero

x = -b/a for ax + b

Zero of p(x) is a value 'a' such that p(a) = 0.

If dividing by (ax – b), substitute x = b/a.

For linear polynomial ax + b, the zero is x = -b/a.