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Bezzdna [24]
2 years ago
5

Factor completely the given polynomial

Mathematics
1 answer:
kherson [118]2 years ago
6 0
I like to always factor out the negative first, so that we will have our first term be positive:
So it can be rewritten as this: -(x^2-3x-28)

Then we need to find two numbers that multiply to -28, but add up to -3.
Those two numbers are -7 and +4.

So we can rewrite as: -(x-7)(x+4)
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<h3>What is the average of five consecutive integers ending with b?</h3>

First, since it was given in the task content that the average of six positive consecutive odd integers starting with a is equal to b, it therefore follows that;

(a+a+2+a+4+a+6+a+8+a+10)/6 = b

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b=a+5

Also, let the average of the consecutive intergers ending with b be denoted by; x.

(b+b-1+b-2+b-3+b-4)/5 = x

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=b–2

The average, x=b – 2 (where b = a-5)

Ultimately, the value of the required average is; = a+5-2 = a+3.

Read more on average of integers;

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