Question

using factor method divide (x+3)(x^2-5x+6) by x^2-9​

Answer 1

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x - 2

Step-by-step explanation:

Dividend = (x + 3)(x² - 5x + 6)

x² - 5x + 6 = x² - 2x - 3x + 6

                 = x(x - 2) - 3(x - 2)

                 = (x - 2)(x - 3)

Divisor = x² - 9

By applying the property a² - b² = (a + b)(a - b)

Divisor = (x + 3)(x - 3)

Dividing the dividend with the divisor =>

   [ (x + 3)(x - 2)(x - 3) ]

= -----------------------------

     [ (x + 3)(x - 3) ]

(x - 3)(x + 3) will get cut

= x - 2

Hope this helps! :D

Answer 2

Answer:

Divide: (x+3) (x^2-5x+6) by x^ 2-9 - 9166312. ... (x + 3)(x - 3). Dividing the dividend with the divisor =>. [ (x + 3)(x - 2)(x - 3 ) ].