Posted by ladybug on Sunday, November 18, 2012 at 11:42pm.
find a bound on the real zeros of the polynomial.
f(x)=x^4+2x^38x7
every real zero of f lies between ? and ?
*pleasae show all work*

college algebra, Please help!!  Steve, Monday, November 19, 2012 at 10:10am
using synthetic division, dividing by xa, take a look at the signs of the numbers in the quotient.
x0: 1 2 0 8 7
x1: 1 3 3 5 12
x2: 1 4 8 8 9
all signs are positive, so all real roots are all less than 2.
Similarly, for negative values,
x+1: 1 1 1 7 0
x+2: 1 0 0 8 9
x+3: 1 1 3 17 44
signs alternate, so all real roots are greater than 3
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