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35 votes
What is the factorization of the polynomial below ? 16x2 -9

User Kavita
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1 Answer

9 votes
9 votes

Answer:

(4x + 3)(4x - 3)

Explanation:

I am going to assume by 16x2 -9 you mean 16x² - 9

The factorization means the factors are "broken" up. If you multiply them together, we will reach 16x² - 9 again.

First, we can look at factors of 9. This gives us 1, 3, and 9. We will use 3. Since the nine is negative, one will be + 3 and one will be - 3 since a negative times a positive is a negative.

( + 3)( - 3)

Last we can factor the 16x² portion. I know that 4 times 4 is 16, and 4x times 4x is 16x².

(4x + 3)(4x - 3)

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

User Connorelsea
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