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# Find all roots of the polynomial ​

0
155
3
+52

Find all roots of the polynomial$$f(x)=x^4-5x^3+5x^2+17x-42$$

Jun 2, 2021

#1
+2327
+2

(x-2)(x+3)(x^2-4x+7)

That's the factored form.

Can you take it from here?

=^._.^=

Jun 2, 2021
#2
+52
+1

I got $$2,-3,2+i\sqrt{3}, 2-i\sqrt3$$ but the website said it was wrong

ThanksForAllHelp  Jun 2, 2021
#3
+1

Should be (x + 2)(x - 3)(x^2 - 4x + 7).

Jun 2, 2021