Question

factorise x^4+3x^2+4
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Answer 1

Answer:

Let x² be a, then

a²+3a+4

a²+2a+2a+4

a(a+2)+2(a+2)

(a+2)(a+2)

Hope it helps:)

Answer 2

Answer:

x^4 + 3x^2 + 4

x^4 + 4x^2 - x^2 + 2^2

[(x^2)^2 + (2)(x^2)(2) + 2^2] - x^2

using the below identity

$a {}^{2} +2ab + b {}^{2} = (a + b) {}^{2}$

(x^2 + 2)^2 - x^2

$a { }^{2} - b {}^{2} = (a + b)(a - b)$

(x^2 + 2 + x)(x^2 + 2 - x)