If (x - 3) is a factor of \(2x^{2} - 2x + p\), find the
FURTHER MATHEMATICS
WAEC 2010
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: A. -12
Explanation
Using remainder theorem, since x - 3 is a factor, then
given \(2x^{2} - 2x + p\), f(3) = 0
\(2(3^{2}) - 2(3) + p = 0 \implies 18 - 6 = -p\)
\(p = -12\)
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