Find a polynomial of degree 4 with 0 as a zero of multiplicity 2 and – 2 and –4 as zeros of multiplicity 1. The polynomial must be fully expanded. b) Find the domain of f (x) = 2x2 x +3 −

Answer 1

Morgan, the multiplicity of a zero is the number of times it shows up.

So, P(x) = x² (x + 2) (x + 1)

= x² (x² + 3x + 2)

= x⁴ 3x³ + 2x²

This is the required polynomial.

Part (b) is incomplete so I can't solve it for you.