Answer:
Option 1 is correct.
Step-by-step explanation:
Given the equation [tex](x + 5)^2 + 4(x + 5) + 12 = 0[/tex]
we have to choose the best statement describes the above equation.
[tex](x + 5)^2 + 4(x + 5) + 12 = 0[/tex] → (1)
As, the highest degree of its monomials i.e individual terms with non-zero coefficients is 2.
⇒ Degree of above equation is 2.
hence, the given equation is quadratic equation.
The general form of quadratic equation is
[tex]ax^2+bx+c[/tex]
In variable u: [tex]u^2+u+c=0[/tex] → (2)
Now, compare equation (1) with (2), we say that
The equation is quadratic in form because it can be rewritten as a quadratic equation with u substitution u = (x + 5).
Option 1 is correct.
