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Your answer should be in the form p(x)+(kx−2)p(x)+(\frac{k}{x-2}) where pp is a polynomial and kk is an integer. x2−5x−2\frac{x^2-5}{x-2}

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Write a quadratic function from its x-intercepts and another pointright chevron icon

Full solution

Q. Your answer should be in the form p(x)+(kx−2)p(x)+(\frac{k}{x-2}) where pp is a polynomial and kk is an integer. x2−5x−2\frac{x^2-5}{x-2}
  1. Simplify expression: Simplify the given expression (x2−5)/(x−2)(x^2-5)/(x-2) to find p(x)p(x) and kk.
  2. Identify value of kk: Identify the value of kk from the remainder.
  3. Write final answer: Write the final answer in the required form p(x)+kx−2p(x) + \frac{k}{x-2}.

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