Rational bc it is a fraction
(x+3)(x+3) = x^2 -3 + 3x
x^2 + 3x + 3x + 9 = x^2 + 3x - 3
x^2 + 6x + 9 = x^2 + 3x - 3
6x + 9 = 3x - 3
3x + 9 = -3
3x = -12
x = -4
Check:
(-4+3)^2 = (-4)^2 - 3(1+4)
(-1)^2 = 16 - 3(5)
1 = 16-15
1 = 1 :)
Answer:
Below.
Step-by-step explanation:
In factor form this is:
f(x) = a(x + 3)(x + 1)(x - 2) where a is a number to be found.
As it passes through (3, 6) we have:
6 = a(3 + 3)(3 + 1)(3 - 2)
24a = 6
a = 1/4.
So f(x) = 1/4(x + 3)(x + 1)(x - 2)
In general form this is:
f(x) = 1/4 x^3 + 1/2 x^2 - 5/4 x - 3/2
Answer:
That's the answer
Only 
is a perfect square trinomial
