Question

factorize (x⁴+4x²+3)​

Answer 1

Answer:

your answer is given in the above photo

Answer 2

Answer :

• x⁴ + 4x² + 3 => ( x² + 3 ) ( x² + 1 )

To Do :

• To factorise the polynomial x⁴ + 4x² + 3.

Given :

• A polynomial x⁴ + 4x² + 3.

Step By Step Solution :

We need to factorise the polynomial x⁴ + 4x² + 3.

So let's do it !!

$\longmapsto\tt{x}^{4}+4{x}^{2}+3 \\ \\\sf{We \: can\:write\:4{x}^{2}\:as\:3{x}^{2}+{x}^{2}} \\ \\ \dag \underline{ \mathfrak{ \red{B{ \tt{y}} \: substituting \: the \: value}}} \\ \\ \longmapsto \sf {x}^{4}+{x}^{2}+ 3{x}^{2}+ 3 \\ \\ \longmapsto \sf {x}^{2} ( {x}^{2}+ 1) + 3( {x}^{2} + 1) \\ \\ \longmapsto{\bf{ \green{ ({x}^{2} + 3)( {x}^{2} + 1)}}}$

Hence factorised.

x⁴ + 4x² + 3 => ( x² + 3 ) ( x² + 1 )

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