Question

The degree of the polynomial 4x^2-12x+9 is *​

Answer 1

Degree means the highest power of the equation.

So, in this equation highest power is 2

Hence, Degree - 2

Answer 2

'2' is degree of the polynomial 4x² - 12x + 9.

Therefore, the polynomial is quadratic polynomial beacuse it has degree 2 . And, we know that the polynomial which has degree 2 is known as quadratic polynomial.

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How to see degree of any polynomial.

• By seeing the highest power we can able to tell the degree of any polynomial.

For example:-

• As the polynomial is 4x² - 12x + 9. In this 2 is highest power. Therefore 2 will be degree.

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More information:-

• If any polynomial has highest power 1. So, that polynomial will be linear polynomial. For example:- 2x + 1 in this highest power is 1. So, it is a linear polynomial.
• If any polynomial has highest power 2. So, that polynomial will be quadratic polynomial. For example:- 2x² - 12 in this power is 2. So, it is a quadratic polynomial.
• If any polynomial has highest power 3. So, that polynomial will be cubic polynomial. For example:- 2x³ + 3x + 4 in this power is 3. So, it's is a cubic polynomial.
• If any polynomial has highest power 4. So, that polynomial will be biquadratic polynomial . For example:- 2x⁴ + 3x + 4 in this power is 4. So, it's is a biquadratic polynomial.