Form 1:
For this case we have the following polynomial:
[tex]x ^ 2 + 4x + 3[/tex]
We want to write the polynomial in a different way.
We can, for example, factor the polynomial. We have then:
Factoring we have:
[tex]x ^ 2 + 4x + 3 = (x + 1) (x + 3)[/tex]
Therefore, an equivalent expression is given by:
[tex](x + 1) (x + 3)[/tex]
Answer:
[tex](x + 1) (x + 3)[/tex]
Form 2:
We now write the equation in the form of vertex.
We have then:
[tex]y = a (x-h) ^ 2 + k [/tex]
Where,
(h, k): vertice of the parabola
Therefore, rewrite the equation we have:
[tex]y = (x ^ 2 + 4x + 4) + 3-4[/tex]
[tex]y = (x + 2) ^ 2-1[/tex]
Answer:
Another equivalent form is the vertex form:
[tex]y = (x + 2) ^ 2-1[/tex]
