Question

factorize x^4 - 3x^2 +2​

Answer 1

Answer:

your answer is given in picture

Answer 2

Step-by-step explanation:

Very easy, put x=1, the polynomial will evaluate to 0. This means that (x-1) is a factor of the polynomial.

x^4 - 3x^2 + 2

=x^4 - x^3 + x^3 - x^2 - 2x^2 + 2

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

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

=(x - 1){x^3 + x^2 - 2(x + 1)}

=(x - 1){x^3 + x^2 - 2x - 2}

=(x - 1){x^2(x + 1) -2(x + 1)}

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

Hope it's help you!!