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Nathan Harvey
Mathematics
31 December, 03:00
Factor completely 4x^4 - 24x^3 + 36x^2
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Moises Newman
31 December, 03:04
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Answer: 4x^2 (x-3) ^2 the will be the answer if you factor it
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Maddie
31 December, 03:16
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4x^2 (x-3) ^2
Step-by-step explanation:
Original expression: 4x^4 - 24x^3 + 36x^2
So looking at this we see that there are a few things we have in common among all the terms in this expression
1. They all have at least a value of x^2
2. They are all multiples of 4
Knowing this we can begin to factor and pull out an x^2 term
x^2 (4x^2 - 24x + 36)
Then we can factor out the 4
4x^2 (x^2 - 6x + 9)
Now we have reached a quadratic, and in this case we can also factor this quadratic:
We need a number that when multiplied will give positive nine and add to - 6 so we can do - 3 and - 3 to fix these specifications:
4x^2 ((x-3) (x-3)) or 4x^2 (x-3) ^2
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