362,447 views
9 votes
9 votes
HELP O_O
Find the Roots of the polynomial equation!!!

2x^3+2x^2-19x+20=0

User Oreopot
by
2.5k points

2 Answers

24 votes
24 votes

Graph attached

Zeros are the x intercepts

  • Only one real zero -1.047
HELP O_O Find the Roots of the polynomial equation!!! 2x^3+2x^2-19x+20=0-example-1
User Gaddigesh
by
2.8k points
14 votes
14 votes

Answer:

Your given polynomial has only one real root which is x= -4

Explanation:

find any zero of the polynomial.

x-a divides the polynomial where a is a zero of polynomial:

So x+4 divides
2x^(3) +2x^(2) -19x+20

If we factor out a two, we can use the quadratic formula.

2(x^2-3x+2.5) so we have x = (-(-3)+/-(9-4*1*2.5)^(1/2))/2*1)=(3+i) or (3-i)/2 .

Final answer:


2x^(3) +2x^(2) -19x+20=0

then x=-4, (3+i)/2, or (3-i)/2

User Vojtech Stas
by
2.8k points