If (x – 3) is a factor of (2x^{2} – 2x + p), find the value of constant p.
-
A.
-12 -
B.
-6 -
C.
3 -
D.
6
Correct Answer: Option A
Explanation
Using remainder theorem, since x – 3 is a factor, then
given (2x^{2} – 2x + p), f(3) = 0
(2(3^{2}) – 2(3) + p = 0 implies 18 – 6 = -p)
(p = -12)