Write down the degrees of the following polynomials:a. $3a^2+6a+3$b. $11ab^2-10ac+4$.

Given :

The given expressions are,

a. $3a^2+6a+3$

b. $11ab^2-10ac+4$.

To do :

We have to find the degree of the given polynomials.

Solution :

a. $3a^2+6a+3$

The highest power is the degree of the polynomial.

Here, the highest power of a is 2.

Therefore, the degree of the polynomial is 2.

b. $11ab^2-10ac+4$.

The term with the highest exponent is the degree of the polynomial.

Here, in $11ab^2$,   

The exponent of a is 1, and the exponent of b is 2.

Therefore, the degree of the term is $1+2 = 3$.

In $-10 a c$,

The exponent of a is 1, and the exponent of c is 1.

Therefore, the degree of the term is $1+1 = 2$.

The highest exponent is 3.

Therefore the degree of the polynomial is 3.

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Updated on: 10-Oct-2022

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