P(x)=(x−1)(x−2)(x−3)(x−4)(x−5)(x−6).
What is the value of P(11) × P(10) × P(9) × P(8) × P(7) × P(6)?
0
Since 6 is a zero of the polynomial , P(6) = 0.
So the expression P(11) × P(10) × P(9) × P(8) × P(7) × P(6)
= P(11) × P(10) × P(9) × P(8) × P(7) × 0 = 0