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Andreas93 [3]
3 years ago
8

What is the factored form of 5x^2-8x-4? need to show work!!!

Mathematics
2 answers:
SashulF [63]3 years ago
6 0

Answer:

(x - 2) (5x + 2)

Step-by-step explanation:

1. Use the sum-product pattern

5x^2 - 8x - 4

5x^2 + 2x - 10x - 4

2. Common factor from the two pairs

5x^2 + 2x - 10x - 4

x(5x + 2) - 2(5x + 2)

3. Rewrite in factored form

x(5x + 2) - 2(5x + 2)

(x - 2) (5x + 2)

wlad13 [49]3 years ago
5 0

Answer:

(5x+2)(x-2)

Step-by-step explanation:                      

  1.      5x^2-8x-4
  2.      5x^2-10x+2x-4
  3.      (5x^2-10x)+(2x-4)
  4.       5x(x-2) +2(x-2)
  5.      (5x+2)(x-2)           ✔️

                                                         

If you want to learn how I did this its below this message but its very complicated to write it out so I suggest watching a khan academy video or something.

                                                            Note: First Term is <u>5x^2</u>

                                                            Middle Term is <u>-8x</u> and Last Term is <u>-4</u>

                                                           Coefficient- The number in front of x

<h3>Step 1:   Write out problem          </h3><h3 />

5x^2-8x-4                            

<h3>Step 2: Using Diamond/Grouping method </h3>

           

Multiply first term coefficient and last term's coefficient

to get a number.                                                 5×-4    = -20    

Now find 2 numbers that can multiply into this number   ↑ and those 2 numbers also have to add up to the middle term (-8).

So basically find 2 numbers that multiply to -20 and add up to -8.    In this case those numbers are gonna be -10 and 2 because -10×2=-20 and -10+2=-8

<h3>Step 3: Split the Middle Term</h3>

Okay now rewrite the problem out           5x^2-8x-4

Now  rewrite it again but replace the -8x with the 2 numbers you got and add an x after the numbers.                   5x^2-10x+2x-4

Now split the problem into 2 parts:         (5x^2-10x)    +    (2x-4)

Now factor out the highest GCF out of the first section of the problem.  For this problem factor out 5x out of (5x^2-10x)

You now have 5x(x-2)    +   (2x-4)

Now factor out the next part of the problem which is 2 in this problem

Now you have this      <u>5x</u> (x-2)    +   <u>2</u> (x-2)

Now you take this        ↑   and this  ↑   and stick them inside a parenthesis.

You now have (5x+2)        to finish it off just take (x-2) and put it next to (5x+2)

Answer:   (5x+2)(x-2)

Congrats you probably didn't understand. Sorry for wasting your time if you didn't understand.

                                                                                 

<h2 />

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