Find a bound on the real zeros of the Polynominal function

Question

Find a bound on the real zeros of the Polynominal function.

 

f(x) = x⁴+3x³-7x-3

 

Every real zero lies between -___ and ___

Answer 1

This is tricky. Find the leading coefficient and add one. That's seven plus one equals eight.

Then add all the coefficienjump up except the first: three plus seven plus three is thirteen.

 

The smaller of two numbers is eight so the functions real roots are between plus and minus eight,

 

Hooe that helps,

Deanna