Which polynomial function f(x) has a leading coefficient of 1, roots –4, 2, and 9 with multiplicity 1, and root –5 with multiplicity 3?

f(x) = (x + 5)(x + 5)(x + 5)(x + 4)(x - 2)(x - 9)

Step-by-step explanation:

The polynomial function f(x) possessing a key coefficient of 1:

= 0

By opening the above equation;

f(x) = (x + 5)(x + 5)(x + 5)(x + 4)(x - 2)(x - 9)

∵ Thus, the above polynomial function makes the coefficient 1 with a multiplicity of 3 for root - 5 and 1 for -4, 2, and 9.

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.