Question

factorise x4 + 4x2 +3

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.

 

Answer 2

Answer:

(x²+3) (x²+1)

Explanation: x^4+4x² +3

x^4 + 3x² + x² + 3

x^4 + x² +3x² + 3

x² (x² +1 ) + 3 (x² + 1)

= (x² + 3) (x² + 1)