Answer:
A
Step-by-step explanation:
This is an even polynomial because both ends end up. This means the degree of the polynomial is even. This means b and c are not solutions since their degrees are odd.
To determine between A and D look at the x-intercepts. The x-intercepts of a polynomial graph have a special relationship with its equation. The x-intercepts are the solutions or roots of the factors. This means that when each factor is set equal to 0 and solved, its solution is an x-intercept. Here the x-intercepts are x = -1, 0,3. This means the factors are x(x+1)(x-3).
Notice at x = -1, the function touches but does not cross? This means the factor has an even exponent on it.
So the expression is likely x(x+1)^2 (x-3).
Since only one factor has an exponent, the answer is A.
