# Divide first polynomial by second polynomial and write the answer in the form ‘Dividend = Divisor x Quotient + Remainder’. x^3 – 64; x – 4

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Divide first polynomial by second polynomial and write the answer in the form ‘Dividend = Divisor x Quotient + Remainder’.

x3 – 64; x – 4

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x3 – 64 = x3 + 0x2 + 0x – 64

∴ Quotient = x2 + 4x + 16, Remainder = 0

Now, Dividend = Divisor x Quotient + Remainder

∴ x3– 64 = (x – 4)(x2 + 4x + 16) + 0