Question

$\sqrt{2 {x}^{2} } + 3x + 1 \:$
is it a polynomial why or why not?
answer pls​

Answer 1

Question :-

$\bf \: ⟼ \sqrt{2} {x}^{2} + 3x + 1 \:$

Is it a polynomial ? Why or why not?

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$\begin{gathered}\bf\pink{Yes,} \end{gathered}$

because it is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

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What is a Polynomial?

• A polynomial is an expression that consists of variables, terms, exponents and constants. For example, 3x²-2x - 10 is a polynomial.

What are terms, degrees and exponents in a polynomial?

If 2x² – 3x + 19 is a polynomial, then;

• Terms: 2x², -3x & 19
• Degree: 2 (the highest exponent of variable x)
• Exponents: Power raised to variable x, i.e. 2 and 1.

What is the standard form of the polynomial?

• A standard polynomial is the one where the highest degree is the first term, and subsequently, the other terms come. For example, x³ – 3x² + x -12 is a standard polynomial. So the highest degree here is 3, then comes 2 and then 1.

What are the types of polynomials?

In general, there are three types of polynomials. They are Monomial, Binomial and Trinomial.

• Monomial: It is an expression that has one term. Ex: x, y, z, 23, etc.
• Binomial: It is an expression that has two terms. Ex: 2x+y, x² – x, etc.
• Trinomial: It is an expression that has three terms. Ex: x³ – 3x + 10.

A polynomial can have any number of terms but not infinite.