Answer:
x = -3 or 7
Explanation:
The zero product property tells you a product will be zero if and only if a factor is zero. This property is used to find the zeros of polynomial functions by factoring them, then considering the variable values that make the factors zero. The zero of a monic linear binomial factor will be the opposite of the constant in that binomial.
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The factored form of the given polynomial is ...
y = (x -7)(x +3)
The values of x that make these factors zero are ...
x -7 = 0 ⇒ x = 7
x +3 = 0 ⇒ x = -3
The zeros of the polynomial function are x = -3, and x = 7.