# algebra......

posted by .

Given f(x)=(x−1)(x−2)+(x−2)(x−5)+(x−3)(x−8), what are the sum of the roots of f(x)?

• algebra...... -

f(x) = 3x^2 - 21x + 36
sum of roots is -(-21/3) = 7

## Similar Questions

1. ### chemistry

For which of these elements would the electron affinity process shown be least favorable?
2. ### chemistry

For which of these elements would the electron affinity process shown be least favorable?
3. ### calculus

Find an equation for the surface consisting of all points P(x, y, z) equidistant from the point P(0, 1, 0) and the plane x = 3. Answer Choices: 1. y2 + z2 − 6x + 2y − 8 = 0 2. x2 + z2 + 6y − 2z − 8 = 0 3. y2 …
4. ### biology

Given the part of the molecule shown below, can the underlined atom participate in a hydrogen bond with an approriate bonding partner?
5. ### Product of Roots of Sums of Products of Difference

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?
6. ### Product of Roots of Sums of Products of Difference

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?