Question

What is quadratic equations ? Write general form of quadratic
equation ?

Quality answer required .​

Answer 1

Answer:

The general form of a quadratic function is f(x)=ax2+bx+c where a, b, and c are real numbers and a≠0. The standard form of a quadratic function is f(x)=a(x−h)2+k. The vertex (h,k) is located at h=–b2a,k=f(h)=f(−b2a).

Step-by-step explanation:

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Answer 2

Quadratic Equation :-

• It is an equation which can be arranged in a standard form.

• If f(x) = ax² + bx + c is a quadratic equation, then a ≠ 0.

• The general form of a quadratic equation is this example only.

ax² + bx + c = 0.

• But, Make sure that if a = 0, then it is not a quadratic equation.

Some Other Related Terms :-

• Coefficients of Polynomial –

Example :- Coefficient of x² in 4x² is 4.

• Standard form of Polynomial –

A polynomial written in descending or ascending power of a variable, is its standard form.

Example :- 3x⁴ + 2x³ + x² + 9.

• Types of Polynomial –

On the basis of degrees,

1) Linear Polynomial.

2) Quadratic Polynomial.

3) Cubic Polynomial.

4) Biquadratic Polynomial.

On the basis of Terms,

1) Monomial.

2) Binomial.

3) Trinomial.