Question

Dividing polynomials?x²+5x+3 divided by x+6

Answer 1

Step-by-step explanation:

To divide the given polynomials, let us try to factorize the numberator to see if we can have factors that makes it possible to reduce the denominator to 1.

`x^(2)+5x+3=x(x+5)+3`

There are no factors that makes it reducible.

So, using long division:

`(x^2+5x+3)/(x+6)`

Divide x^2 by x, and multiply the result by the denominator, we have:

`x(x+6)=x^2+6x`

Subtract this result from the numerator:

`(x^2+5x+3)-(x^2+6x)=-x+3`

Divide -x by x and multiply the result by the denominator, we have: