Question

A polynomial p is graphed. What could be the equation of p? Choose 1 answer:

A. p(x) = x( x + 2)(2x + 7)
B. p(x) = x(x - 2)(2x - 7)
C. p(x) = x(2x) (7/2x)
D. p(x) = x(-2x)(- 7/2x)

Answer 1

`\text{B. }p(x)=x(x-2)(2x-7)`

Explanation:

The zeroes of a function occur when the function crosses the x-axis. The function shown crossed the x-axis at
`x=0`,
`x=2`, and
`x=3.5`. These values of
`x` should produce an output of 0 when plugged into the function.

Therefore, the equation of the function graphed is
`\boxed{\text{B. }p(x)=x(x-2)(2x-7)}`