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# Write the degree of the polynomial $19x + \sqrt 3 x + 14$ .

Last updated date: 17th Mar 2023
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Hint: To find the degree of the given polynomial, represent it in the standard form and find the highest power to which the variable is raised, that is the degree of the polynomial.

A polynomial is defined as an expression that contains two or more algebraic terms. It includes constants, variables and exponents. “Poly” means many and “Nominal” means terms. Example for a polynomial is $5{x^2} + 2$.
The polynomial is said to be in its standard form when the terms are written in the decreasing order of power. For example, the standard form of $8x + {x^2}$ is ${x^2} + 8x$ .
The degree of a polynomial is defined as the highest power to which the variables in the terms are raised. It is also the exponent of the first term in the standard form of the polynomial. For example, the degree of the polynomial ${x^3} + 8x - {x^5}$ is 5.
Expressing the given polynomial $19x + \sqrt 3 x + 14$ in the standard form, we get:
$19x + \sqrt 3 x + 14 = \left( {19 + \sqrt 3 } \right)x + 14$
The first term in the standard form is $\left( {19 + \sqrt 3 } \right)x$. The exponent of the variable in the first term is one.