Question

A polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1). Write a function in standard form that could represent this function.

Answer 1

Explanation:

f(x) = (x-4)³x¹

= (x-4)²(x-4)x

= (x²-8x+16)(x²-4x)

= (x⁴-32x³+16x²)-(4x³-32x²+64x)

= x⁴-36x³-16x²-64x