Question

The polynomial of degree 5, P ( x ) , has leading coefficient 1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 2 . Find a possible formula for P(x). I got x^5-5x^4-2x^4+3x^2, and I got it wrong. :(

Answer 1

Answer:

Step-by-step explanation:

(x-3)(x-3)(x²)(x+2)

(x²-6x+9)(x³+2x²)

x^5+2x^4-6x^4-12x^3+9x^3+18x^2

x^5 - 4x^4 - 3x^3 +18x^2