Answer :
Final answer:
The maximum number of real zeros that P(x) can have is 9.
Explanation:
The maximum number of real zeros that the polynomial P(x) = -21x⁴-19x⁵+19x⁶+11x³+16x⁷-13x⁹+118 may have can be determined using the Fundamental Theorem of Algebra.
The Fundamental Theorem of Algebra states that a polynomial of degree n can have at most n real zeros.
Since the degree of P(x) is 9, the maximum number of real zeros it can have is 9.
