Question

Divide (x^2+8x+15)by(x+3).​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Quotient = x - 5

Step-by-step explanation:

We have to divide x²-8x+15 by x-3...

Let's proceed.......

                 

                       x -5           

______________

          x-3 )  x² - 8x + 15  (

                   x² - 3x

                  -     +

              ---------------

                       -5x +15

                       -5x + 15

                      +     -

                  -----------------

                           0

Hence, x²-8x+15 ÷ x-3 = x - 5.

Let us check the answer...........

We know 

p (x) = g(x) X q (x) + r(x).               ..........(i)

Here, r is 0.

g (x) = x -3

q (x) = x-5,  and

p (x) = x²-8x+15

So, putting values in eq. (i)............

x²-8x+15 = (x-3) (x-5) + 0

Let us solve RHS.......

(x-3) (x-5) 

= x (x-5) -3(x-5)

= x² - 5x - 3x - 15

= x²-8x+15

As, LHS=RHS..............

Hence, verified.