Posted by **please help me out!!** on Thursday, March 28, 2013 at 12:15pm.

What is the product of all roots to the equation

++(x−1)(x−2)(x−3)+(x−2)(x−3)(x−4)(x−3)(x−4)(x−5)+(x−4)(x−5)(x−6)(x−5)(x−6)(x−7)+(x−6)(x−7)(x−8)=0?

- Product of Roots of Sums of Products of Difference -
**Count Iblis**, Thursday, March 28, 2013 at 12:51pm
If p(x) = an x^n + ...+a0,

then,

p(x) = an (x-r1)(x-r2)....(x-rn)

where the rj are the roots of p(x). The product of all the roots is then related to p(0). Puting x = 0 in the above identity gives:

p(0) = (-1)^n an Product from j = 1 to n of rj

In your case, n = 6 and a6 = 2.

## Answer This Question

## Related Questions

- biology - Given the part of the molecule shown below, can the underlined atom ...
- Product of Roots of Sums of Products of Difference - What is the product of all ...
- Grade 12 Calculus - Evaluate each of the following. Show all your calculations...
- calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...
- calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...
- calculus - Find an equation for the surface consisting of all points P(x, y, z) ...
- physics - Four charges −8 × 10^−9 C at (0 m, 0 m), −7 × 10^&#...
- math help azap - Select all of the expressions that are equivalent to 1/3(−...
- algerbra help plzzz - Select all of the expressions that are equivalent to 1/3...
- algerbra help plzzz - Select all of the expressions that are equivalent to 1/3...

More Related Questions