Math, asked by parastondwalkar8024, 5 months ago

24x^2-146x+221 factories it

Answers

Answered by Anonymous
3

Answer:

How to solve your question

Your question is

2

4

2

1

4

6

+

2

2

1

24x^{2}-146x+221

24x2−146x+221

Grouping

1

Use the sum-product pattern

2

4

2

1

4

6

+

2

2

1

24x^{2}{\color{#c92786}{-146x}}+221

24x2−146x+221

2

4

2

6

8

7

8

+

2

2

1

24x^{2}{\color{#c92786}{-68x}}{\color{#c92786}{-78x}}+221

24x2−68x−78x+221

2

Common factor from the two pairs

2

4

2

6

8

7

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2

2

1

24x^{2}-68x-78x+221

24x2−68x−78x+221

4

(

6

1

7

)

1

3

(

6

1

7

)

4x(6x-17)-13(6x-17)

4x(6x−17)−13(6x−17)

3

Rewrite in factored form

4

(

6

1

7

)

1

3

(

6

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7

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4x(6x-17)-13(6x-17)

4x(6x−17)−13(6x−17)

(

4

1

3

)

(

6

1

7

)

(4x-13)(6x-17)

(4x−13)(6x−17)

Solution

(

4

1

3

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(

6

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7

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