Respuesta :

Answer:

g(x) = (3x - 2)(x + 4)

x = {-4, 2/3}

Step-by-step explanation:

g(x) = 3x^2 + 10x - 8

Factor

g(x) = (3x - 2)(x + 4)

Zero I

3x - 2= 0

3x = 2

x = 2/3

Zero II

x + 4 = 0

x = -4

x = {-4, 2/3}

Answer:

The answer is, [tex]x = {-4, 2/3}[/tex]

Explanation:

Definition of factor:

A factor is a number that divides another number by itself without leaving a residue. To put it another way, if multiplying two whole numbers produces a product, the numbers we're multiplying are factors of the product since they're divisible by it.

Factors can be found using two methods: multiplication and division. In addition, divisibility rules can be applied.

Step-by-step:

[tex]g(x) = 3x^2 + 10x - 8[/tex]

Factor:

[tex]g(x) = (3x - 2)(x + 4)[/tex]

Step 1:

Zero 1.

[tex]3x - 2= 03x = 2x = 2/3[/tex]

Step 2:

Zero 2.

[tex]x + 4 = 0x = -4[/tex]

[tex]x = {-4, 2/3}[/tex]

Hence, the g(x) zeros are [tex]x = {-4, 2/3}[/tex]

Learn more about factor here-

https://brainly.com/question/25829061

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