Saturday

April 19, 2014

April 19, 2014

Posted by **ladybug** on Sunday, November 18, 2012 at 11:42pm.

f(x)=x^4+2x^3-8x-7

every real zero of f lies between -? and ?

*pleasae show all work*

- college algebra, Please help!! -
**Steve**, Monday, November 19, 2012 at 10:10amusing synthetic division, dividing by x-a, take a look at the signs of the numbers in the quotient.

x-0: 1 2 0 -8 -7

x-1: 1 3 3 -5 -12

x-2: 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

**Related Questions**

college algebra--please help - Find a bound on the real zeros of the polynomial ...

algebra - Find a bound on the real zeros of the polynomial function f(x)=x^4+x^3...

college algebra - 1. solve the following logarithmic equation log_8(x+8)+log_8(x...

calculus - find the bound on the real zeros of the polynomial function f(x)=x^4+...

pre-calculus - find a bound on the real zeros of the polynomial functions. f(x)=...

College Algebra - I need a little help with this problem. P(x)=2x^4-17x^3+47x^2-...

calculus - Use the Upper Bound theorem to find an integral upper bound and the ...

College Algebra - Directions: Find the REAL solutions of the equation x^3-2.6x^2...

College algebra - Use the rational zeros theorem to find all the real zeros of ...

college algebra - use rational zeros theorem to find all the real zeros in the ...