Answer:
(5x+2)(x-2)
Step-by-step explanation:
- 5x^2-8x-4
- 5x^2-10x+2x-4
- (5x^2-10x)+(2x-4)
- 5x(x-2) +2(x-2)
- (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
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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.
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