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)
Answer:
(5x+2)(x-2)
Step-by-step explanation:
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 5x^2
Middle Term is -8x and Last Term is -4
Coefficient- The number in front of x
5x^2-8x-4
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
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 5x (x-2) + 2 (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.
