Question

divide
9x^4 - 1 by 3x^2 - 1​

Answer 1

Answer:

this is the answer. i hope it's useful

Answer 2

Answer:

the long way

Step-by-step explanation:

x2"   was replaced by   "x^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 ((9 • (x4)) -  3x2) +  1

STEP  

2

:

Equation at the end of step

2

:

 (32x4 -  3x2) +  1

STEP

3

:

Trying to factor by splitting the middle term

3.1     Factoring  9x4-3x2+1  

The first term is,  9x4  its coefficient is  9 .

The middle term is,  -3x2  its coefficient is  -3 .

The last term, "the constant", is  +1  

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

Step-2 : Find two factors of  9  whose sum equals the coefficient of the middle term, which is   -3 .

     -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

Final result :

 9x4 - 3x2 + 1