What’s is the multiplicity of f(x)=(x+3)(x-4)^2

The root has multiplicity one and the root has multiplicity two.

Explanation:

Given that the function

We need to determine the multiplicity of the function.

The function has 2 roots.

The roots of the function are -3 and 4.

The multiplicity of the roots means the number of times the root is a factor of the polynomial.

Thus, from the function, it is obvious that the function has the root -3 which occurs exactly once.

Thus, the root has multiplicity one.

Also, the root of the function which occurs twice.

Thus, the root has multiplicity two.

Hence, the multiplicity of the function is the root has multiplicity one and the root has multiplicity two.

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .