divide 3x³ + 5x² + 2x + 7 by x² + 2x + 3 find the quotient and the remainder - Maths -

Question

divide 3x³ + 5x² + 2x + 7 by x² + 2x + 3 find the
quotient and the remainder , and verify the division algorithm

Ankush Jain · Accepted Answer

Quotient = 3x â€“ 1, Remainder = â€“5x + 10 Verification : According to division algorithm, Dividend = Divisor Ã— Quotient + Remainder $= (x^{2} + 2 x + 3) (3 x - 1) + (- 5 x + 10) = 3 x^{2} + 6 x^{2} + 9 x - x^{2} - 2 x - 3 - 5 x + 10 = 3 x^{3} + 5 x^{2} + 2 x + 7$ Hence verified

divide 3x³ + 5x² + 2x + 7 by x² + 2x + 3 find the quotient and the remainder , and verify the division algorithm