Question

Factorize : 22(y^4 - 5y^3 -24y^2) / 11y(y-8)

Answer 1

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Answer:

Let us divide the given polynomial 11y

3 +5y 4+6y 5 −3y 2+y+5 or 6y 5+5y 4 +11y 3 −3y 2+y+5 by 3y 2−2y+4 as shown in the above image:

From the division, we get that the quotient is 2y 3 +3y 2 +3y−3 and the remainder is (−17y+17).

Hence −(−17y+17)=17y−17 should be added to 11y

3+5y 4+6y 5−3y 2 +y+5 so that the resulting polynomial is exactly divisible by 3y 2−2y+4.