The synthetic division is not same as the polynomial long division.
Given:
Let's take a polynomial function f(x) = divided by x-2.
Using synthetic divison:
2 1 2 -5 -6
0 2 8 6
1 4 3 0
(x-2)(x^2+4x+3)
= (x-2)(x+3)(x+1)
Polynomial long division:
x-2) (x^2+4x+3
x^3- 2x^2
4x^2 - 5x + 6
4x^2 - 8x
3x + 6
3x - 6
0
=(x-2)(x^2+4x+3)
Learn more about the division here:
#SPJ4
The expansion of a perfect square is
In words, the square of a sum of two terms is the sum of the squares of the two terms ( and
), plus twice the product of the two terms (
)
So, when determining if you have a perfect square trinomial, you should have two perfect squares. Note that they don't have to be the first and third term, since you can rearrange terms as you prefer.