Question

Factorise: x^4 + 3x - 2.

Answer 1

Answer:

(x² + x - 1)(x² - x + 2)

Step-by-step explanation:

Given Equation is x⁴ + 3x - 2

It can be written as,

= x⁴ + x³ - x³ - x² + 2x² - x² + 2x + x - 2

Rearrange the variables, we get

= x⁴ - x³ + 2x² + x³ - x² + 2x - x² + x - 2

Take common factor, we get

= x²(x² - x + 2) + x(x² - x + 2) - 1(x² - x + 2)

= (x² + x - 1)(x² - x + 2).

Therefore, factorization of x⁴ + 3x - 2 = (x² + x - 1)(x² - x + 2).

Hope it helps!