Aloha~! My name is Zalgo and I am here to help you out on this amazing day. The answer to your question is (3x+4) (3x-4). This answer comes from the factorization of the equation "9x^2-16".
I hope this helps! :D
"Stay Brainly and stay proud!" - Zalgo
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The factorized form of the given polynomial is (3x + 4)(3x - 4). Using one of the factorization methods of polynomial, the result is obtained.
Writing a polynomial as the product of its factors (monomial, binomial or and so on) is called the factorization of the polynomial.
There are different methods of factorization. Some of them are the grouping method, GCF method, the difference of squares method, etc.
The given polynomial is [tex]9x^2-16[/tex]
Using the difference of squares method we can write the given polynomial as
[tex]9x^2-16 = (3x)^2-(4)^2[/tex]
We know that difference between any two squares is
[tex]a^2-b^2=(a+b)(a-b)[/tex]
So,
[tex]9x^2-16[/tex] = (3x + 4) (3x - 4)
Therefore, the factors of the given polynomial are (3x + 4) and (3x - 4).
Learn more about the factorization of polynomials here:
https://brainly.com/question/11434122
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