Question

The quotient and divisors are (x^2+3x + 2) and (x + 5). If the remainder is 0, then the corresponding polynomial is :
(1) x^3+ 8x^2 +17x+10
(2) x^3 - 8x^2 +17x + 10
(3) x^3 + 8x^2 – 17x+10
(4) x^3 - 8x^2 +17x - 10
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Answer 1

Dividend = (divisor × quotient) + remainder

= (3x2−2x+1)×(x+2)+(2x−5)

= 3x3+4x2−x−3