## Which of the following is a zero for the function f(x) = (x + 3)(x − 7)(x + 5)? x = −7 x = −3 x =

Question

Which of the following is a zero for the function f(x) = (x + 3)(x − 7)(x + 5)?

x = −7

x = −3

x = 3

x = 5

0

The zero of among the given options is EXPLANATION

The given function is To find the zeros of the given function, we set This implies that, Either This gives us, From the options provided, the only zero is The correct answer is option B.

2. The zero of the function is Further explanation:

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n. The polynomial function has n roots or zeroes.

Given:

The given options are as follows,

(a). (b). (c). (d). Explanation:

The given function is Solve the function to obtain the zeroes. Either or or The first zero of the function can be obtained as follows, The second zero of the function can be obtained as follows, The third zero of the function can be calculated as follows, The zeros of the functions are -3, 7 and -5.

The zero of the function is Option (a) is not correc is not a root of the function.

Option (b) is correct as is the root of the function.

Option (c) is not correct is not a root of the function.

Option (d) is not correct is not a root of the function

Keywords: Linear equation, quadratic equation, zeros, function, solution, cubic function, degree of the function.