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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)?

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?

An 80 kg man is riding in an elevator from the first floor to the 34th floor. The elevator and man are moving at a constant speed. What is the net force on the man in Newtons.

Two positive point charges are placed on the xaxis. One, of magnitude 4Q, is placed at the origin. The other, of magnitude Q is placed at x=3 m. Neither charge is able to move. Where on the xaxis in meters can I place a third positive point charge such

A race car is on a straight track. The race car accelerates from rest, covering 100 m in 5 seconds. What is the acceleration of the race car in m/s^2?


What is the xintercept of the line y=2x−38?

Three circles with different radii have their centers on a line. The two smaller circles are inside the largest circle, and each circle is tangent to the other two. The radius of the largest circle is 10 meters. Together the area of the two smaller circles

ABC is an isosceles triangle where AB=AC and BC=60. D is a point on BC such that the perpendicular distance from D to AB and AC is 16 and 32, respectively. What is the length of AB?

ABCD is a trapezoid with AB

f(x) is a polynomial with degree equal to 5, and one of its roots equal to 15. Let g(x)=f(x)+25. What is the remainder when g(x) is divided by x−15?