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nikitadnepr [17]
3 years ago
12

Find the missing factor 2x^2+9x-5=(2x-1)()

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0
<span><span>2<span>x2</span>−9x−5=0</span><span>2<span>x2</span>-9x-5=0</span></span>Factor by grouping.
<span><span><span>(x−5)</span><span>(2x+1)</span>=0</span><span><span>(x-5)</span><span>(2x+1)</span>=0</span></span>Set <span><span>x−5</span><span>x-5</span></span> equal to <span>00</span> and solve for <span>xx</span>.
<span><span>x=5</span><span>x=5</span></span>Set <span><span>2x+1</span><span>2x+1</span></span> equal to <span>00</span> and solve for <span>xx</span>.
<span><span>x=−<span>12</span></span><span>x=-<span>12</span></span></span>The solution is the result of <span><span>x−5=0</span><span>x-5=0</span></span> and <span><span>2x+1=0</span><span>2x+1=0</span></span>.<span>x=5,−<span><span>12</span></span></span>
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Factor the expression using the GCF.<br> 60 – 36 =
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Answer

12 (5 - 3)

Step-by-step explanation:

The greatest common factor is the largest number that will divide both numbers evenly. As an example, 6 is a common factor because it divides both 60 and 36. However, it is not the greatest common factor.

 

If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.

 

If I break 36 into it's prime factors, I would get 2 * 2 * 3 * 3.

 

The two number have the factors, 2, 2, and 3 in common.

 

The greatest common factor is then: 2 * 2 * 3, or 12.

 

The expression can be factored as:  12 ( 5 - 3)

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