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siniylev [52]
3 years ago
8

How do you factor - 8x2 + 28x +60​

Mathematics
1 answer:
attashe74 [19]3 years ago
5 0

Answer:

4 • (x - 5) • (2x + 3)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   2 • -15 = -30  

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   -7 .

     -30    +    1    =    -29  

     -15    +    2    =    -13  

     -10    +    3    =    -7    That's it  

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  3  

                    2x2 - 10x + 3x - 15

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-5)

Step-5 : Add up the four terms of step 4 :

                   (2x+3)  •  (x-5)

            Which is the desired factorization

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3 years ago
In science class, Logan estimates the volume of a sample to be 42 mL. The actual volume of the sample is 48 mL. Find the percent
galina1969 [7]

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Percent of error of Logan's Estimate is 12.5%

Step-by-step explanation:

Given:

Actual Volume of sample =48 mL

Estimated Volume of sample = 42 mL

We need to find the percent errors of Logan estimate.

To calculate percent of error below are the steps.

Step 1: Subtract the Actual value from the estimated value.

Step 2: Take the absolute value of step 1

Step 3: Divide that answer by the Actual value.

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Now Substituting the values we get;

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Step 2: Find Absolute value we get;

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Step 3 : Divide that answer by the Actual volume.

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Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

0.125\times 100 = 12.5\%

Hence Percent of error of Logan's Estimate is 12.5%

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