Can a polynomial have four solutions but only two x-intercepts? In 1-2 sentences, explain how this can or cannot occur.

No, a polynomial cannot have four solutions but only two x-intercepts because every solution of a polynomial equation corresponds to an x-intercept and vice versa. Therefore, the number of solutions and the number of x-intercepts must be the same.

No, a polynomial cannot have four solutions but only two x-intercepts. By the Fundamental Theorem of Algebra, a polynomial with degree n can have at most n distinct solutions, which includes both real and complex solutions. Therefore, if a polynomial has four solutions, it must have at least four distinct x-intercepts.

No, a polynomial cannot have four solutions but only two x-intercepts. The number of solutions of a polynomial is equal to the number of x-intercepts, so if there are four solutions, there must be four x-intercepts.