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प्रश्न
Classify the following as a constant, linear, quadratic and cubic polynomials:
1 + x + x2
उत्तर
Constant polynomials: The polynomial of the degree zero.
Linear polynomials: The polynomial of degree one.
Quadratic polynomials: The polynomial of degree two.
Cubic polynomials: The polynomial of degree three.
Powers of x = 1 and 2, respectively.
The highest power of the variable x in the given expression = 2
Hence, the degree of the polynomial = 2
Since it is a polynomial of degree 2, it is a quadratic polynomial.
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