Answer:
(x+3)(x+5)<em>(x-2)(x-1)</em><u>(x^2+2x+4)(x^2+x+1)</u> where the given one is bolded the 2 binomials is italicized and the 2 trinomials is underlined
Step-by-step explanation:
2x6 + 4x5 + x4 + 11x3 + 2x2 + 4x + 4
Hi friend,
This is a perfect square trinomial.
It can be recognised because it is of the form:
a^2−2ab+b^2=(a−b)^2
with a=3x and b=4
9x2−24x+16=(3x)2−(2⋅(3x)⋅4)+42
=(3x−4)2
Answer:

You gave the explicit form.
Step-by-step explanation:
You gave the explicit form.
The recursive form is giving you a term in terms of previous terms of the sequence.
So the recursive form of a geometric sequence is
and they also give a term of the sequence; like first term is such and such number. All this says is to get a term in the sequence you just multiply previous term by the common ratio.
r is the common ratio and can found by choosing a term and dividing by the term that is right before it.
So here r=-3 since all of these say that it does:
-54/18
18/-6
-6/2
If these quotients didn't match, then it wouldn't be geometric.
Anyways the recursive form for this geometric sequence is
