Question

P(x)=2x^6+6x^5+2x^3-3x^2+8x+1 has two real roots. Determine integers a and b so that one root is in the interval (a,a+1) & one in (b,b+1)

Answer 1

Have you used Newton's Method before?

Answer 2

@zachary.litton

Answer 3

I have not, I was trying to use the INTERMEDIATE VALUE THEOREM For Polynomials

Answer 4

Hmm that sounds like a good idea. So try out some values and see where the function changes sign from negative to positive or vice versa. That way you can get closer and closer to the real root and be able to determine the intervals.

Answer 5

ok thank you