हिंदी

Divide the Following Polynomial by Synthetic Division Method and Also by Linear Division Method. Write the Quotient and the Remainder. (2m^2 - 3m + 10) ÷ (m - 5) - Algebra

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प्रश्न

Divide the following polynomial by synthetic division method and also by linear division method. Write the quotient and the remainder.

`(2m^2 - 3m + 10) ÷ (m - 5)`

योग

उत्तर

Synthetic Division:

Dividend = `2m^2 - 3m + 10`

Divisor = m - 5

Opposite of −5 = 5

The coefficient form of the quotient is (2, 7).

∴ Quotient = 2m + 7 and Remainder = 45

Linear Method:

`2m^2 - 3m + 10`

`= 2m(m - 5) + 10m - 3m + 10`

`= 2m(m - 5) + 7 (m - 5) + 35 + 10`

`=(m - 5) xx (2m + 7) + 45`

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Synthetic Division
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Polynomials - Practice Set 3.3 [पृष्ठ ४६]

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बालभारती Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
अध्याय 3 Polynomials
Practice Set 3.3 | Q 1. (i) | पृष्ठ ४६
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