Divide the polynomial (x^3+4x^2+5x+6) by (x+3) and write the quotient and the remainder.
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Answer:
- Remainder = 0
- Quotient = x² + x + 2
Explanation:
Divide the polynomial (x³ + 4x² + 5x + 6) by (x + 3)
So here,
- Dividend = (x³ + 4x² + 5x + 6)
- Divisor = (x + 3)
By actual division,
x + 3)x³ + 4x² + 5x + 6(x² + x + 2
(-)
x³ + 3x²
x² + 5x
(-)
x² + 3x
2x + 6
(-)
2x + 6
0
∴ Remainder = 0 and Quotient = x² + x + 2
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