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qaws [65]
3 years ago
14

What is the factored form of the expression. (2n^2 + 5n + 3) (4n - 5)

Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

So firstly, <u>the factor (4n - 5) cannot be further factored, so we will be focusing on 2n² + 5n + 3.</u>

So for this, we will be factoring by grouping. Firstly, what two terms have a product of 6n² and a sum of 5n? That would be 2n and 3n. Replace 5n with 2n + 3n:

(2n^2 + 2n + 3n + 3)(4n - 5)

Next, factor 2n² + 2n and 3n + 3 separately. Make sure that they have the same quantity on the inside of the parentheses:

(2n(n+1)+3(n+1))(4n-5)

Now we can rewrite this expression as<u> (2n+3)(n+1)(4n-5) , which is your final answer.</u>

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3 years ago
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3 years ago
The measures of 5 of the Interior angles of a hexagon are: 115.125", 85", 150", and 170". What is the measure of the
levacccp [35]

The measure of the  largest exterior angle of hexagon is 105

<u>Solution:</u>

Given, The measures of 5 of the Interior angles of a hexagon are: 115.125", 85", 150", and 170".  

We have to find what is the measure of the largest exterior angle?  

Now let us find the 6th interior angle,  

We know that, sum of interior angles of hexagon = 720 degrees

115 + 125 + 85 + 150 + 170 + 6th angle = 720

645 + 6th angle = 720  

6th angle = 720 – 645  

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Now we have to find the largest exterior angle, we know that, the complement of largest exterior angle will be smallest interior angle.

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