explain how you could write a quadratic function in a factored form that would have a vertex with an x- coordinate of 3 and two distinct roots

What is the standard form of -5x^2+2x^4-11+x^3+3x

Ineed to know the answer to this algebra question.

With this question substitute t=3 and t=5 to determine if the two expressions are equivalent. 4(t + 3) 4t+12 which statements are true? check all that apply. a. the value of both expressions when t =5 is 32. b. the two expressions are not equivalent. c. the value of both expressions when t=3 is 15. d. the value of both expressions when t=5 is 23. e. the two expressions are equivalent. f. the value of both expressions when t=3 is 24.