Determine whether the given number is a zero of the polynomial function.
-P(x) = 5x3 - 6x2 + x + 192; -3
A) No
B) Yes

Question

Quizplus · Accepted Answer

To determine if -3 is a zero of the polynomial function $P(x) = 5x^3 - 6x^2 + x + 192$, we substitute $x = -3$ into the polynomial and simplify. If the result is 0, then -3 is a zero of the polynomial. $$P(-3) = 5(-3)^3 - 6(-3)^2 + (-3) + 192 = 5(-27) - 6(9) - 3 + 192 = -135 - 54 - 3 + 192 = 0.$$Since the result is 0, -3 is indeed a zero of the polynomial function.

Determine Whether the Given Number Is a Zero of the Polynomial