1. Find a function p(x) that could be represented by the following graph. Leave your function in factored form.2. Let / ( x) = 3x' -5x+2. a. What can you say about x-1 with respect to f (x)? b. What does / (1) equal? c. Where does the point (1, f (1) ) lie on the graph of / (x) ? d. What are the zeros of / (x) ? e. What are the x-intercepts of / (x) ?3. Divide x -3 into g(x) = x -2x' +x+3. State the resulting quotient. a. Is 3 a root of g(x) ? b. Explain another way you might prove or disprove that 3 is a root of g(x) = x -2x'+ x+3