Question

factorise x4+4x2+3 by factor theorem ​

Answer 1

Answer:

The factorization is

x^4+4x^2+3=(x^2+3)(x^2+1)

Step-by-step explanation:

Given the polynomial,

x^4+4x^2+3

we have to factorize the polynomial.

x^4+4x^2+3

By middle term splitting method

x^4+3x^2+x^2+3

x^2(x^2+3)+1(x^2+3)

\text{Taking }x^2+3\text{ common from both the terms, we get}

(x^2+3)(x^2+1)

which is required factored form.

Hope it helps you...

Answer 2

Here is Your answer.

$( {x}^{2} + 3)( {x}^{2} + 1)$

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