Write the equation of the graph shown below in factored form. Option A: f(x) = (x-2)^2(x+1)(x-3)
Option B: f(x) = (x+2)^2(x-1)(x+3)
Option C: f(x) = (x+2)^2(x+1)(x+3)
Option D: f(x) = (x-2)^2(x-1)(x-3)

Please show and explain all work.

In the figure below, segment ac is congruent to segment ab: triangle abc with a segment joining vertex a to point d on side bc. side ab is congruent to side ac which statement is used to prove that angle abd is congruent to angle acd? segment ad bisects angle cab. triangle acd is similar to triangle abd. segment ad is congruent to segment ac. angle cab is congruent to angle cba.

Find the area of the triangle formed by the origin and the points of intersection of parabolas y=−3x^2+20 and y=x^2−16.

Solve each quadratic equation by factoring and using the zero product property. 10x + 6 = -2x^2 -2