Find the zeros of the function. f(x) = 9x2 + 6x - 8

Mathematics

2 answers:

jeyben [28]3 years ago

7 0

Just set it equal to zero and solve using the quadratic equation.

mars1129 [50]3 years ago

4 0

The zeros of a function are when y = 0, so set the right side of the equation equal to 0. Then factor; the right side becomes (3x-2)(3x+4). Set both of those parentheses equal to zero to find the zeros, or roots, of the equation.
x = 2/3, x = -4/3

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Factorization for the monomial<br> <img src="https://tex.z-dn.net/?f=48x%5E%7B10%7D" id="TexFormula1" title="48x^{10}" alt="48x^

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Some of the possible factorizations of the monomial given are:

$(16x^5)(3x^5)$

$(48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)$

Step-by-step explanation:

To factorize the monomia you need to express it as a product of two or more monomials. Therefore, you must apply the proccedure shown below:

- Descompose into prime numbers:

$48x^{10}=2*2*2*2*3*x*x*x*x*x*x*x*x*x*x$

- Then, keeping on mind that, according to the Product of powers property, when you have two powers with equal base you must add the exponents, you can make several factorizations. Below are shown some of the possible factorizations of the monomial given:

$(2^4x^5)(3x^5)$