Question

decomponha o polinomio
x^4-8x^3+9x^2+38x-40. (admite as raízes 1, 5, 4, -2)

Answer 1

$Resolu\c{c}\~ao \to \left\{\begin{array}{ccc}a*(x-r_1)*(x-r_2)*...*(x-r_n)\\\\x^4-8x^3+9x^2+38x-40\\\\r_1=1\\r_2 = 5\\r_3=4\\r_4=-2\\\\1*(x-1)*(x-5)*(x-4)*(x+2)\\\\\boxed{\boxed{(x-1)*(x-5)*(x-4)*(x+2)}}\end{array}\right$

Espero ter ajudado. :))