Question

What will the quotient and remainder be on division of ax² + bx + c by px³ + qx² + rx + s, p ≠ 0?Justify your answer.

Answer 1

Degree of the polynomial px³ + qx² + rx + s is 3

Degree of the polynomial ax² + bx + c is 2

Here, degree of px³ + qx² + rx + s is greater than degree of the ax² + bx + c

Therefore, the quotient would be zero,

And the remainder would be the dividend = ax² + bx + c.