Hi,

f(x)=3x^3-43x^2+161x-49    |Yes x = 7 is a root

Using synthetic Division to find the other two

7	3	-43	161	-49

		21	-154	49

	3	-22	7	 0

    3x^2 - 22 + 7

   ( 3x - 1)(x - 7) = 0 , x = 7 , x = 1/3

f(x)=3x^3-43x^2+161x-49 = (x-7)(x-7)(x - 1/3)



f(x)=2x^3-4x^2-34x+68  x = 2 is a root

Using synthetic Division to find the other two

2	2	-4	-34	68

		4	0	-68

	2	0	-34	0

        2x^2 = 34 = 0

         x = ± √17

f(x)=2x^3-4x^2-34x+68 = (x-2)(x + √17)( x -√17)  

RELATED QUESTIONS

Use Descartes rule of signs to determine how many positive and how many negative real... (answered by mukhopadhyay)

state the possible numbers of positive real zeros, negative real zeros, amd imaginary... (answered by josgarithmetic)

State the number of real zeros. Approximate each real zero to the nearest tenth.... (answered by richwmiller)

Find an​ nth-degree polynomial function with real coefficients satisfying the given  (answered by josgarithmetic)

Find an​ nth-degree polynomial function with real coefficients satisfying the given... (answered by Boreal)

I  need help to find the real zeros of this function. And I'm supposed to use the real... (answered by dan_math)

These will be the last questions.  Please help
1.  List all of the possible rational... (answered by jim_thompson5910)

How do I find "all real zeros" of the function?

f(x) =... (answered by psbhowmick)

degree if 3 zeros: 1+i and -5........form a polynomial f(x) with real coefficients have... (answered by Fombitz)