Question

How do you write a polynomial in standard form given the zeros x=5,6,7?

Answer 1

Use the factor theorem to convert the given zeros into factors.
Hence the polynomial is wriiten as `P(x)=(x - 5) (x - 6) (x - 7)`
Multiply the factors together to get
`P(x)=x^3 - 18*x^2 + 107*x - 210`