What information must you have to write a polynomial function having all real roots given its graph?

The roots are simple

ok, so
remember some nice rules

if the zeores of the function (where the graph hits the x axis) are r1,r2...rn the the factors are (x-r1)(x-r2)...(x-rn)

if the degree (how many factors, or x^degree) is odd, then the ends of the graph go in oposite directions, from bottom left to top rght
if the leading coefient (first term) has a negative like f(x)=-3(x-r1)(x-r2)...
then the graph is reflected across the x axis

if the degree is even, the ends go in same direction
if leading coefient is negative, then ends both go down

the roots are wehre the graph hits te x axis
if yo hav a root repeat, that's called a multiplicaty
(x-r1)^2 is even multiplicy
(x-r1)^3 is odd
odd multilicity means the line goes though the graph
even means that the graph just touches the graph at that point and bounces off

this is confusing so sorry

Ques 1) one

Ques 2) None.

Step-by-step explanation:

Question 1)

only one triangle could be constructed using the measure that length of the sides are 1 m, 2m and 2m.

and the triangle such formed will be an isosceles triangle since the two sides are equal and one side is unequal.

Question 2)

None of the triangles could be constructed with each angle measuring 66°.

Since, there are 3 angles in a triangle and sum of all the angles must be equal to 180°.

By the given information we have all the angles of a triangle is 66°.

on summing up all the angles we have:

66°+66°+66°=198°≠180°.

Hence the answer is NONE.