Find the least common multiple (lcm) of and . you can give your answer in its factored form.

Step-by-step explanation:

We are given the following:

We can factor the given polynomial in the following manner.

Thus, the common factors of the both polynomials are:

(k+1)

Thus, the LCM of both the polynomials is

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.