Question

Please only help with #3!

Answer 1

The polynomial is
`x^(4)-4x^(3)+3x^(2)`

Explanation:

∵ The polynomial of dgree 4 has 3 , 1 and zero as a double root

∴ x = 3 , x = 1 , x = 0 , x = 0

∴ The factors of this polynomials are:

(x - 3) , (x - 1) , (x) , (x)

∴The polynomial = (x)(x)(x - 3) (x - 1)

∴ The polynomial =
`x^(2)(x^(2)-4x+3)=x^(4)-4x^(3)+3x^(2)`