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Divide the polynomials. Your answer should be a polynomial. (x^(2)-16)/(x+4)=

Divide the polynomials. Your answer should be a polynomial.\newlinex2−16x+4= \frac{x^{2}-16}{x+4}=

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Full solution

Q. Divide the polynomials. Your answer should be a polynomial.\newlinex2−16x+4= \frac{x^{2}-16}{x+4}=
  1. Factorize numerator: Recognize that the division (x2−16)/(x+4)(x^2 - 16) / (x + 4) can be simplified by factoring the numerator.\newlineThe numerator x2−16x^2 - 16 is a difference of squares and can be factored into (x+4)(x−4)(x + 4)(x - 4).
  2. Cancel common factor: Cancel out the common factor in the numerator and the denominator.\newlineSince (x+4)(x + 4) is a common factor in both the numerator and the denominator, we can cancel it out, leaving us with x−4x - 4.
  3. Write simplified result: Write down the simplified result of the division.\newlineAfter canceling out the common factor, the result of the division is x−4x - 4.

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