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04/07/2021 1:20 pm
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Classify the following as linear, quadratic and cubic polynomials:
(i) x2 + x
(ii) x – x3
(iii) y + y2 + 4
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04/07/2021 1:23 pm
We know that,
Linear polynomial: A polynomial of degree one is called a linear polynomial.
Quadratic polynomial: A polynomial of degree two is called a quadratic polynomial.
Cubic polynomial: A polynomial of degree three is called a cubic polynomial.
(i) x2 + x
The highest power of x2 + x is 2
the degree is 2
Hence, x2 + x is a quadratic polynomial
(ii) x – x3
The highest power of x – x3 is 3
the degree is 3
Hence, x – x3 is a cubic polynomial
(iii) y + y2 + 4
The highest power of y + y2 + 4 is 2
the degree is 2
Hence, y + y2 + 4 is a quadratic polynomial