Question

plz solve this question​

Answer 1

GIVEN

• HCF of two Polynomial = x² - 1
• LCM of two Polynomial = x⁴ - 10x² + 3
• One of the Polynomial = x³ - 3x² - x + 3

TO FIND

• Other Polynomial

SOLUTION

WE KNOW THAT

• Product of Number = HCF × LCM

(x² - 1) (x⁴ - 10x² + 3) = (x³ - 3x² - x + 2) (Other Polynomial)

Other Polynomial = (x³ - 3x² - x + 3)/(x² - 1) (x⁴ - 10x² + 3)

= [x²(x-3) - 1(x-3)] / (x² - 1) (x⁴ - 10x² + 3)

= (x² - 1)(x-3) / (x² - 1) (x⁴ - 10x² + 3)

= (x-3) / (x⁴ - 10x² + 3)