Question

Polynomial question Halp!!!!!!!!!! If f(x)= x^3 +6x^2-15x+c, find the two values of c and find the roots if two are identical

Answer 1

Someone help plzzzzzzzzzzzzzzzz

Answer 2

say the roots are \(\alpha, \alpha ,\beta\)

Answer 3

\((x-\alpha)(x-\alpha)(x-\beta) = x^3 +6x^2-15x+c\)

\((x-\alpha)^2(x-\beta) = x^3 +6x^2-15x+c\)

Answer 4

expand left side, and compare \(x^2, x\) coefficients, and constant terms
you would get 3 equations in \(\alpha, \beta\)
solve the equations and find \(\alpha, \beta\)