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

Question

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## Answers ( No )

ANSWER

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.

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

Learn more:

1.Learn more about inverse of the functionhttps://brainly.com/question/1632445.2.Learn more about equation of circle brainly.com/question/1506955.3.Learn more about range and domain of the function https://brainly.com/question/3412497Answer details:

Grade:High SchoolSubject:MathematicsChapter:Linear equationKeywords:Linear equation, quadratic equation, zeros, function, solution, cubic function, degree of the function.