Question

x²- 8x+12 divided by x-2​

Answer 1

Answer:

x-2

Step-by-step explanation:

mate attachment is the procedure of the division...

Answer 2

Given:

x²- 8x+12

To Find:

x²- 8x+12 divided by x-2​

Solution:

Let us first check if (x-2) is a factor of x²- 8x+12 or not.

For that, we will put x = 2 in the given equation.

  x²- 8x+12

= 2²- 8×2+12

= 4 - 16 + 12

=4-4

= 0

So, (x-2) is a factor of x²- 8x+12

Now, we will solve the quadratic equation to write it in its factors.

  x²- 8x+12

= x²- 6x-2x+12   (∵x²×12 = 12x² and (-6x)×(-2x) = 12x² )

= x×(x-6) -2×( x-6)  (Taking 6x as common)

=(x-6)(x-2)

Now, we will divide it by (x-2)

=((x-6)(x-2))/(x-2)    ((x-2) in both numerator and denominator got

                               cancelled)

=(x-6)

Hence, the answer is (x-6)