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Elan Coil [88]
2 years ago
15

What is the completely factored form of f(x) = 6x3 – 13x2 – 4x 15? (x 1)(6x2 – 19x 15) (x 1)2(2x – 3) (x 1)(3x – 2)(5x – 3) (x 1

)(2x – 3)(3x – 5)
Mathematics
1 answer:
ludmilkaskok [199]2 years ago
7 0

The completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)

<h3>How to factor the expression?</h3>

The expression is given as:

f(x) = 6x³ - 13x² - 4x + 15

Expand the expression

f(x) = 6x³ - 19x² + 6x² + 15x - 19x + 15

Rewrite as:

f(x) = 6x³ + 6x² + 15x- 19x²   - 19x + 15

Factorize the equation

f(x) = (x + 1)(6x²- 19x + 15)

Expand (6x² - 19x + 15)

f(x) = (x + 1)(6x² - 10x - 9x + 15)

Factorize the expression

f(x) = (x + 1)(2x - 3)(3x - 5)

Hence, the completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)

Read more about factorized expression at:

brainly.com/question/7438300

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3 years ago
Solve this equation please <br>5X2 - 15 = 5​
Lena [83]

Answer:

x = 2 or x = -2

Step-by-step explanation:

5x² - 15 = 5​

⇌

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⇌

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4 0
3 years ago
rodney bought a 25pound bag of dog food his dog eat 10and2/5poundsof foodinthe firstmounthand104/5poundsof the foodin the second
MakcuM [25]

Answer:

3⅘ lb  

Step-by-step explanation:

(a) <em>Amount eaten</em>

Eaten = 10⅖ + 10⅘

Think of pounds as pies. Each pie has 5 slices.

10⅖ pies = 10 pies + 2 slices = 50 slices + 2 slices = 52 slices

10⅘ pies = 10 pies + 2 slices = 50 slices + 4 slices = 54 slices

Eaten = 52 slices + 54 slices = 106 slices


(b) <em>Amount remaining</em>

Remaining = Original – Eaten

Original = 25 pies = 125 slices

Eaten = 106 slices

Remaining = 125 slices -106 slices

Remaining = 19 slices                 Convert slices to pies

Remaining = 15 slices + 4 slices

Remaining = 3 pies + 4 slices     Convert to mixed fraction

Remaining = 3⅘ pies                   Convert pies to pounds

Remaining dog food = 3⅘ lb

8 0
3 years ago
Read 2 more answers
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