Home » The polynomial (2x^{3} + x^{2} – 3x + p) has a remainder of 20 when…

The polynomial (2x^{3} + x^{2} – 3x + p) has a remainder of 20 when…

The polynomial (2x^{3} + x^{2} – 3x + p) has a remainder of 20 when divided by (x – 2). Find the value of constant p.

  • A.
    8
  • B.
    6
  • C.
    -6
  • D.
    -8
Explanation

Remainder for f(2) = 20.

(f(2) = 2(2^{3}) + 2^{2} – 3(2) + p = 20)

(16 + 4 – 6 + p = 20)

(14 + p = 20)

(p = 6)