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The value of dividing x^2-3x+9 by x-2 is x + 3

Ways of dividing polynomials

There are several ways to divide polynomial functions; some of these ways include

  • By factorization
  • By long division
  • By synthetic division
  • By using technology such as graph

How to divide the polynomials?

The expression for the polynomial division is given as:

x^2-3x+9/x-2

To divide polynomial functions, we make use of the division by factorization method

Start by expanding the numerator of the polynomial division

x^2-3x+9/x-2 = x^2 + 3x - 6x + 9/x-2

Factorize the equation

x^2-3x+9/x-2 = x(x + 3) - 2(x + 3)/x - 2

Factor out x + 3 from the numerator

x^2-3x+9/x-2 = (x- 2)(x + 3)/x - 2

Cancel out the common factors

x^2-3x+9/x-2 = x + 3

Hence, the value of dividing x^2-3x+9 by x-2 is x + 3

Read more about polynomial division at:

https://brainly.com/question/25289437

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