Given gh2 + g2h, the factors of the first term are g, h, and h2, and the factors of the second term are g, g2, and h. thus, the greatest common factor is g. dividing through by the greatest common factor, i get h2 + gh. thus, the factored polynomial is g(h2 + gh). a. the student identified the greatest common factor incorrectly. b. the student incorrectly divided each term by the greatest common factor. c. the student failed to simplify the expression. d. the mathematical work shown is correct.

Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants