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Please answer :-Factorize x²+1.

User Yohn
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2 Answers

3 votes

Answer:

x^2+1

Explanation:

The expression is not factorable with rational numbers.

User Ecatmur
by
7.2k points
4 votes

The given expression is


x^2+1

We can not factorize this expression bt the normal factorizing ways

Because it is a binomial with + as a middle sign can not be distributed into 2 factors

Then there is no factorizing for the given binomial

If the sign between the two terms is (-), then we can factorize it into two same factors with different middle sign

We can use the complex numbers to factorize it


\begin{gathered} x^2=(x)(x) \\ 1=(i)(-i) \\ (x)(i)+(x)(-i)=(xi)-(xi)=0 \\ (x+i)(x-i) \end{gathered}

Then the factors are (x + i) and (x - i)


x^2+1=(x+i)(x-i)

User Milan And Friends
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