What could be the equation of p? (1 point) Responses p(x) = x(x−2)(2x−7) p(x) = x(x−2)(2x−7) p(x)=x(2x)(72x) p times x is equal to x 2 x open paren 7 halves x close paren p(x) = x(−2x)(−72x) p(x) = x(−2x)(−72x) p(x) = x(x+2)(2x+7)
The given responses for the equation of the polynomial p(x) are a bit jumbled and repetitive. However, I'll try to clarify and correct them for you:
1. p(x) = x(x−2)(2x−7) - This is the normal form of a cubic polynomial that has roots at x = 0, x = 2, and x = 7/2.
2. p(x) = x(x−2)(2x−7) - This is a repetition of the first response.
3. p(x) = x(2x)(72x) - This seems to be a typographical error. It is not clear what the coefficients should be, especially for "72x," which does not make sense as written. If it were meant to be p(x) = x(2x)(7/2)x, then this would also be incorrect as a polynomial equation because of the (7/2)x term.
4. p times x is equal to x 2 x open paren 7 halves x close paren - This response is difficult to interpret due to the confusing wording and lack of proper mathematical notation. It attempts to describe a polynomial but is written incorrectly.
5. p(x) = x(−2x)(−72x) - This response, like the third one, includes an unlikely term "−72x." It appears to be a typographical error.
6. p(x) = x(−2x)(−72x) - This is again a repetition of the same incorrect polynomial equation.
7. p(x) = x(x+2)(2x+7) - This is another cubic polynomial equation with roots at x = 0, x = -2, and x = -7/2.
Based on the given options, the equations that are correctly formatted and valid polynomial expressions are:
- p(x) = x(x−2)(2x−7)
- p(x) = x(x+2)(2x+7)
The other responses appear to have typographical errors or are stated in a confusing manner. If you are looking for a singular correct equation among these options, you should clarify the requirements or provide additional context for the desired roots or behavior of the polynomial p(x).