Question

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)

Answer 1

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

x-8 = 0 ⇒ x = 8

x-7 = 0 ⇒ x = 7

Answer 2

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

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.