Question

x^6-7x^2-6
factorize it

Answer 1

Answer:

x^6 - 7x² - 6

= (x²)³ - 7x² - 6

Let x² = P

= P³ - 7P - 6

= P³ + P² - P² - P -6P -6

= P²(P + 1) -P(P +1) -6(P +1)

=(P+1)(P² -P -6)

=(P+1)(P² -3P+2P -6)

=(P +1)(P-3)(P+2)

now, put P = x²

=(x² +1)(x² -3)(x² +2)

hence, (x² +1) , (x² -3) and (x²+2) are the factors of x^6 -7x² -6

HOPE IT WILL HELP U DEAR