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5. Classify the following as linear, quadratic and cubic polynomials :
i)\(x^2 + x\)
ii)\(x - x^3\)
iii)\(y + y^2 + 4\)
iv)\(1 + x\)
v)\(3t\)
vi)\(r^2\)
vii)\(7x^3\)
Answer :

i) The degree of polynomial \(x^2 + x\) is 2. Hence, it is a quadratic polynomial.

ii) The degree of polynomial \(x - x^3\) is 3. Hence, it is a cubic polynomial.

iii) The degree of polynomial \(y + y^2 + 4\) is 2. Hence, it is a quadratic polynomial.

iv) The degree of polynomial \(1 + x\) is 1. Hence, it is a linear polynomial.

v) The degree of polynomial \(3t\) is 1. Hence, it is a linear polynomial.

vi) The degree of polynomial \(r^2\) is 2. Hence, it is a quadratic polynomial.

vii) The degree of polynomial \(7x^3\) is 3. Hence, it is a cubic polynomial.