Factor the following polynomial fully.

1 answer:

3 0

Answer:

2(x + 2)(5x-2)

Step-by-step explanation:

Here, we want to factorize the given polynomial

We have this as follows;

10x^2 + 20x - 4x -8

10x(x + 2) - 4(x + 2)

= (10x-4)(x + 2)

We can factor the first side by bringing out two and we will have;

10x-4 = 2(5x-2)

and hence;

2(x + 2)(5x-2)

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Answer:

<h2>The marginal product of labor function or MPL= $9L^{2}-0.2L^{3}$ .</h2>

Step-by-step explanation:

The Average Production Function or APL is given as $APL=3L^{2}-0.05L^{3}$ where "L" represents the overall amount labor in the production process.
Therefore, the Total Production Function or TPL,in this case, would be $TPL=(3L^{2}-0.05L^{3})\times L$ = $TPL=3L^{3}-0.05L^{4}$
Hence,the Marginal Product of Labor, which is abbreviated as MPL will be= $\frac{dL}{dTPL}=(3\times 3L^{2})-(4\times 0.05L^{3})$ = $9L^{2}-0.2L^{3}$
Therefore,the marginal product of labor function or MPL= $9L^{2}-0.2L^{3}$