Question

Which statement best describes the equation x

The equation is quadratic in form because it is a fifth-degree polynomial.

The equation is quadratic in form because the difference of the exponent of the lead term and the exponent of the middle

term is 2

The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial

The equation is not quadratic in form because the exponent of the lead term is not the square of the exponent of the

middle term

Mark this and return

Answer 1

option 1 is correct

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.

Answer 2

C.The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.

Explanation:

A quadratic equation is any equation that can be rearranged in standard form as :

ax² + bx + c = 0

Where a, b and c are coefficients and a ≠ 0.

Since for a quadratic equation, the power of x is a non negative integer, it is considered as a polynomial. A quadratic equation is a second-degree polynomial (i.e the gratest power of x is two).

The equation
`x^5+x^3-14=0` is not a quadratic equation because it cannot be rewritten as a second-degree polynomial.