Question

x⁴ - 5x³ + 8x² - 10x + 12 factorise ​

Answer 1

Answer:P(x) = x⁴ + 5x³ -8x² -10x +12

now roots = √2  and -√2  ⇒  p(x) is divisible by (x-√2)(x + √2) =  x² - 2

P(x) = (x² - 2)(x² +5x - 6)  ⇒ (x² - 2)( x² +6x - x - 6 )

                                      ⇒ (x²-2)(x+6)(x-1)

so other roots gonna be -6 and 1

Step-by-step explanation: