Question

divide as directed:- (x²-5x+6) ÷ (x-2)​

Answer 1

Answer:

We divide the given polynomial x

2

+5x+6 by the monomial x+2 as shown below:

x+2

x

2

+5x+6

=

x+2

x

2

+3x+2x+6

=

x+2

x(x+3)+2(x+3)

=

x+2

(x+2)(x+3)

=x+3

Hence,

x+2

x

2

+5x+6

=x+3.

Step-by-step explanation:

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Answer 2

Answer:

(x² - 5x + 6) ÷ (x - 2)​ = x - 3

Step-by-step explanation:

x - 2 ) x² - 5x + 6 ( x - 3

         x² - 2x

       (-)    (+)

      -----------------

             - 3x + 6

             - 3x + 6

             (+)   (-)

          -----------------

                      0

Therefore, Remainder = 0

Quotient = x - 3

Step 1: We have to multiply x in such a way that we obtain x²

            We know that x * x = x²

           Therefore, multiplying the divisor by x

Step 2: Now, subtracting the terms (x² - 2x from x² - 5x)

            We get - 3x

Step 3: Now we will bring +6 down and follow the same procedure until we reach the end of the dividend.