Question

Please help me to factorise this algebraic expression​

Answer 1

Answer:

>>> answer of (x2+3x+1)(x2−3x+1).

I was able to verify this of course by multiplying together the two irreducible quadratics, but I need to pretend that I never received the answer in the first place and ask for any hint in proceeding how to factor the fourth-order polynomial.

Simplifying

x4 + -7X2 + 1 = 0

Reorder the terms:

1 + -7X2 + x4 = 0

Solving

1 + -7X2 + x4 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -7X2 + -1 + x4 = 0 + -1

Reorder the terms:

1 + -1 + -7X2 + x4 = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -7X2 + x4 = 0 + -1

-7X2 + x4 = 0 + -1

Combine like terms: 0 + -1 = -1

-7X2 + x4 = -1

Add '-1x4' to each side of the equation.

-7X2 + x4 + -1x4 = -1 + -1x4

Combine like terms: x4 + -1x4 = 0

-7X2 + 0 = -1 + -1x4

-7X2 = -1 + -1x4

Divide each side by '-7'.

X2 = 0.1428571429 + 0.1428571429x4

Simplifying

X2 = 0.1428571429 + 0.1428571429x4

Reorder the terms:

-0.1428571429 + X2 + -0.1428571429x4 = 0.1428571429 + 0.1428571429x4 + -0.1428571429 + -0.1428571429x4

Reorder the terms:

-0.1428571429 + X2 + -0.1428571429x4 = 0.1428571429 + -0.1428571429 + 0.1428571429x4 + -0.1428571429x4

Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000

-0.1428571429 + X2 + -0.1428571429x4 = 0.0000000000 + 0.1428571429x4 + -0.1428571429x4

-0.1428571429 + X2 + -0.1428571429x4 = 0.1428571429x4 + -0.1428571429x4

Combine like terms: 0.1428571429x4 + -0.1428571429x4 = 0.0000000000

-0.1428571429 + X2 + -0.1428571429x4 = 0.0000000000

The solution to this equation could not be determined.

Answer 2

Answer:

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

Step-by-step explanation: