Question

Divide each of the following polynomial by synthetic method and also by linear division method. Write quotient and the remainder. (y3−216)÷(y−6)

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Answer 1

Answer:

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Answer 2

Answer:

(y^3−216)÷(y−6)

=> (y^3-6^3)÷(y-6)

(y^3-6^3) is of the form (a^3 - b^3)

(a^3 - b^3) = (a-b)(a^2 + ab + b^2)

=> (y^3-6^3) = (y-6)(y^2 + 6y + 36)

Therefore: (y-6)(y^2 + 6y + 36)/(y-6)

=> y^2 + 6y + 36

By doing proper division method too you get the same answer with remainder = 0