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max2010maxim [7]
3 years ago
10

Divide ( 6x^3 - 17x^2 + 8x -1 ) divided by ( 3x - 1 )

Mathematics
2 answers:
patriot [66]3 years ago
4 0

Answer:

2x^2 - 5x + 1.

Step-by-step explanation:

3x - 1 ) 6x^3 - 17x^2 + 8x - 1 ( 2x^2 - 5x + 1

           6x^3 -  2x^2

                    - 15x^2 + 8x

                    - 15x^2 + 5x

                                    3x - 1

                                     3x - 1

Lapatulllka [165]3 years ago
4 0

Answer:

(6x^3 - 17x^2 + 8x - 1) (3x - 1) : 18x^4 - 57x^3 + 41x^2 - 11x + 1

Step-by-step explanation:

( 6x^3 - 17x^2 + 8x -1 ) ( 3x - 1 )

Distribute parentheses:

=6x^3\cdot \:3x+6x^3\left(-1\right)+\left(-17x^2\right)\cdot \:3x+\left(-17x^2\right)\left(-1\right)+8x\cdot \:3x+8x\left(-1\right)+\left(-1\right)\cdot \:3x+(-1)(-1)

Apply minus - plus rules: +\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab

=6\cdot \:3x^3x-6\cdot \:1\cdot \:x^3-17\cdot \:3x^2x+17\cdot \:1\cdot \:x^2+8\cdot \:3xx-8\cdot \:1\cdot \:x-1\cdot \:3x+1\cdot \:1

Simplify:

6 * 3x^3x - 6 * 1 * x^3 - 17 * 3x^2x + 17 * 1 * x^2 + 8 * 3xx - 8 * 1 * x - 1 * 3x + 1 * 1: 18x^4 - 57x^3 + 41x^2 - 11x + 1

Final Answer:

= 18x^4 - 57x^3 + 41x^2 - 11x + 1

Hope I helped, if so may I get brainliest and a thanks?

Thank you, have a good day! =)

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A professional soccer field is 75 meters wide and 110 meters long. If you run all the way around the soccer field, how far do yo
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4 years ago
Jina, Chang, and Kevin sent a total of 130 text messages over their cell phones during the weekend. Chang sent 3 times as many m
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Answer:

Let the no. of messages Jina send be x.

No. of messages Kevin send=x-5

No. of messages Chang send=3(x-5)

=3x-15

x+(x-5)+(3x-15)=130

x+x-5+3x-15=130

x+x+3x-5-15=130

5x-20=130

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No. of messages Jina sent=30

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Which set of ordered pairs does not represent a function? { ( − 3 , − 1 ) , ( 8 , − 1 ) , ( 0 , − 5 ) , ( − 9 , − 2 ) } {(−3,−1)
inysia [295]

Answer:

\{(2,8),(2,1),(-9,-5),(-8,9)\} is not a function

Step-by-step explanation:

Given

\{(-3,-1),(8,-1),(0,-5),(-9,-2)\}

\{(5,9),(-3,-5),(0,4),(-9,9)\}

\{(9,0),(-5,4),(5,0),(6,3)\}

\{(2,8),(2,1),(-9,-5),(-8,9)\}

Required

Which is not a function

A function is of the form (x,y)

Assume a function is:

\{(x_1,y_1),(x_2,y_2),(x_3,y_3).....,(x_n,y_n)\}

In simple terms:

For an ordered pair to be regarded as a function, no x value must be repeated

Analyzing the options:

1. \{(-3,-1),(8,-1),(0,-5),(-9,-2)\}

This is a function because none of the x values (-3, 8, 0 and -9) appeared more than once

2. \{(5,9),(-3,-5),(0,4),(-9,9)\}

This is a function because none of the x values (5, -3, 0 and -9) appeared more than once

3. \{(9,0),(-5,4),(5,0),(6,3)\}

This is a function because none of the x values (9, -5, 5 and 6) appeared more than once

4. \{(2,8),(2,1),(-9,-5),(-8,9)\}

This is not a function because one of the x values (2) appeared more than once.

i.e.

(2,8)   and   (2,1)

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