Which statement best describes the equation (x + 5)2 + 4(x + 5) + 12 = 0?
the equation is quadratic in form because it can be rewritten as a quadratic equation with u substitution u = (x + 5).
the equation is quadratic in form because when it is expanded, it is a fourth-degree polynomial.
the equation is not quadratic in form because it cannot be solved by using the quadratic formula.
the equation is not quadratic in form because there is no real solution.

Option 1 is correct.

Step-by-step explanation:

Given the equation

we have to choose the best statement describes the above equation.

 →  (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

In variable u:  →  (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.

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step-by-step explanation: