gilmarp0210a
Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

g(x) = 3x^2 + 10x-8
Use the drop-down menus to factor the expression and find the zeros of g(x).

Gx 3x2 10x8 Use The Dropdown Menus To Factor The Expression And Find The Zeros Of Gx class=

Sagot :

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

#SPJ2

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.