Math, asked by shwetasahu336, 1 month ago

Long division method: x³ - 6x² + 2x - 4 by 1-3/2x​

Answers

Answered by subhamsahoo5698
1

Answer:

p(x)=x

3

−6x+x−4

p( \frac{1}{2} ) = ( \frac{1}{2} ) {}^{3} - 6( \frac{1}{2} ) {}^{2} + 2( \frac{1}{2 } ) - 4p(

2

1

)=(

2

1

)

3

−6(

2

1

)

2

+2(

2

1

)−4

= \frac{1}{8} - 6( \frac{1}{4} ) + 1 - 4=

8

1

−6(

4

1

)+1−4

= \frac{1}{8} \frac{ - 6}{8} + 1 - 4=

8

1

8

−6

+1−4

= \frac{1}{8} \frac{ - 3}{2} + 1 - 4=

8

1

2

−3

+1−4

Now take L.C.M. for both the denominators

= (1 - 12 + 8 - \frac{32}{8}) = \frac{ - 35}{8}=(1−12+8−

8

32

)=

8

−35

Remainder - 35/8

Now division - 6x² - 1

After division answer u get

Remainder is - 11x³ - 3

Checking the answer

- 11 \times 3 - 3 < /p > < p >−11×3−3</p><p>

⇒ - 111/8 - 3 < /p > < p >⇒−111/8−3</p><p>

⇒ (- 11 - \frac{24}{8} ) < /p > < p >⇒(−11−

8

24

)</p><p>

⇒ \frac{ - 35}{8}⇒

8

−35

Hence Answer proved

Answered by Vikramjeeth
3

*See the given attachment ☝️

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