Question

factorise a^4+2a^2+9​

Answer 1

Answer:The first term is,  a4  its coefficient is  1 .

The middle term is,  -2a2  its coefficient is  -2 .

The last term, "the constant", is  +9  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 9 = 9  

Step-2 : Find two factors of  9  whose sum equals the coefficient of the middle term, which is   -2 .

     -9    +    -1    =    -10  

     -3    +    -3    =    -6  

     -1    +    -9    =    -10  

     1    +    9    =    10  

     3    +    3    =    6  

     9    +    1    =    10  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Answer 2

Answer:

(a^2-2a+3)(a^2+2a+3) is the answer