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Your answer should be a polynomial (x2+10x+25)/(x+5)(x^2+10x+25)/(x+5)

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Composition of linear and quadratic functions: find an equationright chevron icon

Full solution

Q. Your answer should be a polynomial (x2+10x+25)/(x+5)(x^2+10x+25)/(x+5)
  1. Factorize numerator: Step 11: Factorize the numerator.\newlineThe numerator x2+10x+25x^2 + 10x + 25 can be factorized as (x+5)(x+5)(x + 5)(x + 5) or (x+5)2(x + 5)^2.
  2. Simplify expression: Step 22: Simplify the expression by canceling out common factors.\newlineSince the denominator x+5x + 5 is a common factor in the numerator, we can cancel it out:\newline(x2+10x+25)/(x+5)=(x+5)(x+5)/(x+5)=x+5(x^2 + 10x + 25) / (x + 5) = (x + 5)(x + 5) / (x + 5) = x + 5.

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