Classify the following polynomial as linear, quadratic, cubic and biquadratic polynomial:
$x^{2} + 3 x + 7$

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Solution

Classifying the given polynomial:
Degree of Polynomial: If a polynomial is in one variable, the highest power of the variable is called the degree of the polynomial.
Quadratic Polynomial: A polynomial of degree 2 is called quadratic polynomial.
Since, $x^{2} + 3 x + 7$ is a polynomial in one variable and of degree $2$ , it is a quadratic polynomial.
Hence, $x^{2} + 3 x + 7$ is a quadratic polynomial.

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