Let the function T be defined by T
(
x
)
=
x
3
+
7
x
2
−
26
x
−
72
T
⁢
(
x
)
=
x
3
+
7
⁢
x
2
⁢
-
26
⁢
x
⁢
-
72
. Jake used long division to find the quotient of
T
(
x
)
T
⁢
(
x
)
and
(
x
+
9
)
(
x
+
9
)
as shown:

Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult ticket. the total cost of the six tickets is ? 40.50 work out the cost of an adult ticket. in your working let c be the cost of the child ticket and a be the cost of the adult ticket.

Read the equations in the table below. then drag a description of the situation and a table to represent each equation. indicate whether each of the relationships is proportional or non-proportional.

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. 4x^2 + 20x + 25 = 0