Question

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

Answer 1

Answer:

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:

$\frac{x^2+5x+3}{x+6}$

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:

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