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vichka [17]
3 years ago
13

Which expression does the phrase "five times the difference of x and 4" represent? A. 5x + 4 B. 5x - 4 C. 5(x + 4) D. 5(x - 4)

Mathematics
1 answer:
avanturin [10]3 years ago
4 0

it's D because 5 time the difference of means it's gotta be 5 time the answer of a problem in parenthesis , the rest is quite logical so... yeah it's D

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Simplify the expression using long division. (10x2 – 85x – 10) ÷ (x – 8)
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Answer: 5 • (2x2 - 17x - 2)

 ———————————————————

        x - 8      

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 

Step  2  :

           10x2 - 85x - 10

Simplify   ———————————————

                x - 8      

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  10x2 - 85x - 10  =   5 • (2x2 - 17x - 2)  

Trying to factor by splitting the middle term

3.2     Factoring  2x2 - 17x - 2  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -17x  its coefficient is  -17 .

The last term, "the constant", is  -2  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -2 = -4  

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   -17 .

     -4    +    1    =    -3  

     -2    +    2    =    0  

     -1    +    4    =    3  

Observation : No two such factors can be found !!  

Conclusion : Trinomial can not be factored

8 0
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