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Factorise. n2+26n=0n^2+26n=0

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Q. Factorise. n2+26n=0n^2+26n=0
  1. Identify Common Factor: Identify the common factor in the terms of the quadratic equation.\newlineBoth terms n2n^2 and 26n26n have a common factor of nn.\newlineFactor out the common factor nn.\newlinen(n+26)=0n(n + 26) = 0
  2. Factor Out Common Factor: Check for any additional factors within the remaining binomial.\newlineThe binomial n+26n + 26 does not have any common factors, and it cannot be factored further since 2626 is a prime number.\newlineTherefore, the factors of the equation are nn and n+26n + 26.
  3. Check Additional Factors: Write down the final factored form of the quadratic equation.\newlineThe factored form of the equation n2+26n=0n^2 + 26n = 0 is n(n+26)=0n(n + 26) = 0.

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