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Which of the following represents the division of a polynomial by a polynomial?1. Divide 8x2y - 12xy2 + 20xy by (-4xy)2. Divide 12y2 - 16yx by 4y3. Divide 11x + 15x2 - 12 by 5x - 34. Divide 21ab by 7a

Answer» Correct Answer - Option 3 : Divide 11x + 15x2 - 12 by 5x - 3

An expression with one or more terms is known as a polynomial in general. For example: 5x, 2a + 3b, m + n – 3. While an expression that contains only one term is called a monomial. For example: 7xy, 2x, -4n, -8, 2 3ab 

  • Division of polynomial by monomial: Consider a polynomial (9x2 – 15xy), and monomial 3x. On dividing, we get ,\((9x2 – 15xy)\over3x\) = \(3x(3x\ -\ 5y)\over3x\) = 3x - 5y
  • Division of polynomial by polynomial: Consider two polynomial 11x + 15x2 - 12, and 5x - 3. If we were to divide them, we will write them as \(15x^2+11x - 12\over 5x - 3\)


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