Question

x⁴-3x²+2 factories this......​

Answer 1

this is the solution

hope u find the answer needful

Answer 2

Answer:

(x-1)(x+1)(x+√2)(x-√2)

Step-by-step explanation:

Take the given expression to be f(x) = x⁴-3x²+2

By hit and trial method we get to know that 1 and -1 are the roots of the equation.

f(1) = 1^4 - 3* 1² + 2

    = 1 - 3 + 2

    =0

f(-1) = (-1)^4 - 3* (-1)^2 + 2

      = 1 - 3 + 2

      = 0

Therefore (x-1) and (x+1) are factors of f(x)

Thus (x-1)(x+1) is also a factor which means x²-1 is a factor of f(x)

Now we will use long division method.

Check picture for long division method.