Question

What is the name of the polynomial a2+3a+2 ​

Answer 1

Question :- What is the name of the polynomial a²+3a+2 ?

Solution :-

we know that, The following names are assigned to polynomials according to their degree :-

• Degree 0 = Non-zero constant
• Degree 1 = Linear
• Degree 2 = Quadratic
• Degree 3 = Cubic
• Degree 4 = Quartic , Biquadratic .

as we can see that, in given polynomial (a² + 3a + 2) ,

• Degree of Polynomial = Highest Power = 2.

therefore, we can conclude that, the given Polynomial is a Quadratic Polynomial .

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Answer 2

SOLUTION

TO DETERMINE

The name of the polynomial

$\sf{ {a}^{2} + 3a + 2}$

CONCEPT TO BE IMPLEMENTED

POLYNOMIAL

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

DEGREE OF A POLYNOMIAL

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.

EVALUATION

Here the given polynomial is

$\sf{ {a}^{2} + 3a + 2 }$

Here the variable is a

Now the highest power of its variable that appears with nonzero coefficient is 2

Hence the given polynomial is

QUADRATIC POLYNOMIAL

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