Answered

Sam determines the zeros of the function f(x) to be 8 and 7. What could be Sam’s function?


1.


f(x) = (x − 8)(x + 7)

2.


f(x) = (x − 8)(x − 7)

3.


f(x) = (x + 8)(x + 7)

4.


f(x) = (x + 8)(x − 7)

Verified Answer :

Edufirst

Option 2: f(x) = (x-8)(x-7)

x-8 = 0 ⇒ x = 8

x-7 = 0 ⇒ x = 7

xero099

Answer:

2. \(f (x) = (x - 8)\cdot (x-7)\)

Step-by-step explanation:

Given that function is polynomial, each zero is contained in binomials of the form (x - a), where a is the value of the zero. The number of roots means the number of binomial and the grade of the polynomial. Then, the function has the following form:

\(f (x) = (x - 8)\cdot (x-7)\)

In cosequence, the right answer is 2.

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