Question

Find the roots of the polynomial equation.
−x3 +5x2 −11x+55=0

Answer 1

first you need to factor

Answer 2

−x^3 +5x^2 −11x+55

−x^2(x -5) −11x+55

−x^2(x -5) +(−11x+55)

−x^2(x -5) -11(x-5)

(-x^2-11)(x-5)

-(x^2+11)(x-5)

Answer 3

so

−x^3 +5x^2 −11x+55 = 0

is the same as

-(x^2+11)(x-5) = 0

Answer 4

Do you see what to do from here?

Answer 5

Yes! And then you find the imaginary roots right?

Answer 6

yes if you've learned about them

Answer 7

so there should be 3 solutions

Answer 8

Yeah we did and it's multiple choice so that has to be part of the answer. Thank you!

Answer 9

np