Classify the following as linear, quadratic and cubic polynomial: <br/> <br/> (i) $x^{2}+x$ <br/> <br/>(ii) $x-x^{3}$<br/> <br/>(iii) $y+y^{2}+4$<br/> <br/>(iv) $1+x$ <br/> <br/>(v) $3 t$<br/> <br/>(vi) $r^{2}$<br/> <br/>(vii) $7 x^{3}$

Solution:

Linear polynomial, quadratic polynomial, and cubic polynomial has its degrees as 1,2 , and 3 respectively.

(i) $x^{2}+x$ is a quadratic polynomial as its degree is $2 .$

(ii) $x-x^{3}$ is a cubic polynomial as its degree is 3 .

(iii) $y+y^{2}+4$ is a quadratic polynomial as its degree is 2 .

(iv) $1+x$ is a linear polynomial as its degree is 1 .

(v) $3 t$ is a linear polynomial as its degree is 1 .

(vi) $r^{2}$ is a quadratic polynomial as its degree is 2 .

(vii) $7 x^{3}$ is a cubic polynomial as its degree is 3 .