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3 years ago

Factor out the greatest common factor.

SAT

1 answer:

rodikova [14]3 years ago

3 0

Given expression is

$-14p^3+10p^2+4p$

when we break the individual terms using prime factors

$-14p^3= -2*7*p*p*p\\10p^2=2*5*p*p\\4p=2*2*p$

so the common factors we can see is 2*p

so The greatest common factor is 2p

So when we Factor out Greatest common factor we get

$2p(-7p^2+5p+2)$

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As h(x) approaches 10+ the limit is given as 18.5

<h3>What is limit in mathematics?</h3>

The limit in mathematics has to do with the value that a function would approach as the input in the limit approaches a particular value.

It is when a function would be made to approach output at a particular input value. The concept is very important in calculus as well as analysis in mathematics. They help to define integrals, derivatives as well as continuities in mathematics.

<h3>How to solve for the limit</h3>

The x equation that we have in the question is given as

x = (10+n)

We are to find the limit of lim h(10+n)

This is as h tends towards 10.

h→10

When we go to the table we would observe what happens as 10 moves towards this value. In the given table we would have h as it tends towards 10. In the right hand side of this table we would see that as X is moving towards 10, the value changes to 18.5

Hence the answer to this question is 18.5