Question

x^4 +x^2+25 facttorize

Answer 1

Step-by-step explanation:

x ^4 +x ^2 +25

This can be written in the form,

⇒ (x ^2 )^ 2+2×x^ 2 ×5+(5) ^2 −9x^ 2

⇒ [(x ^2 )^ 2 +2×x^ 2×5+(5)^ 2 ]−(3x)^ 2

⇒ (x ^2 +5)^ 2−(3x) ^2

[ Since, a^2+2ab+b^2=(a+b)^2 ]

⇒ (x ^2+5+3x)(x^2 +5−3x) [ Since, a^ 2 −b^2=(a+b)(a−b) ]

∴ The factors of x ^4 +x ^2+25 are (x^ 2+5+3x)(x ^2+5−3x)

Answer 2

Answer:

The above attachment is your answer.

Step-by-step explanation:

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