Question

1. When a polynomial p(x) is divided by the
polynomial x2 + 2x + 3, then the remainder is 4
and quotient is x – 3. Then p(x) is equal to
(a) x3 – x2 + 3x + 5 (b) x3 – x2 – 3x - 5
(C) x3 + x2 + 3x + 5 (d) x3 + x2 + 3x - 5​

Answer 1

Answer:

B

Step-by-step explanation:

p(x) = (x²+2x+3)(x-3)+4

=x³+2x²+3x-3x²-6x-9+4

=x³-x²-3x-5