Identify Common Factor: Identify the common factor in the terms of the quadratic equation. Both terms n^2 and 26n have a common factor of n. Factor out the common factor n. n(n + 26) = 0Factor Out Common Factor: Check for any additional factors within the remaining binomial. The binomial n + 26 does not have any common factors, and it cannot be factored further since 26 is a prime number. Therefore, the factors of the equation are n and n + 26.Check Additional Factors: Write down the final factored form of the quadratic equation. The factored form of the equation n^2 + 26n = 0 is n(n + 26) = 0.

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

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Math Problems

Algebra 2

Composition of linear functions: find a value

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Q. Factorise.

n^2+26n=0

Identify Common Factor: Identify the common factor in the terms of the quadratic equation. $\newline$ Both terms $n^2$ and $26n$ have a common factor of $n$ . $\newline$ Factor out the common factor $n$ . $\newline$ $n(n + 26) = 0$
Factor Out Common Factor: Check for any additional factors within the remaining binomial. $\newline$ The binomial $n + 26$ does not have any common factors, and it cannot be factored further since $26$ is a prime number. $\newline$ Therefore, the factors of the equation are $n$ and $n + 26$ .
Check Additional Factors: Write down the final factored form of the quadratic equation. $\newline$ The factored form of the equation $n^2 + 26n = 0$ is $n(n + 26) = 0$ .