Question

Find the value of k if x – 3 is the factor of P(x) = $x^2–2x-k$.

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

The correct option is B

3

x – 3 is a factor of $x^2–2x–k$ which means that when P(x) is divided by x – 3 the remainder is zero or simply P(3) = 0 i.e. ${\left(3\right)}^2–2\left(3\right)–k$ = 0. From here we get k = 3.