Question

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 1

(i) The highest degree of $x$ in $x^2+x$ is $2$, so it is a quadratic polynomials.

(ii) The highest degree of $x$ in $x-x^3$ is $3$, so it is a cubic polynomials.

(iii)The highest degree of $y$ in $y+y^2+4$ is $2$, so it is a quadratic polynomials.

(iv) The highest degree of $x$ in $(1+x)$ is $1$, so it is a linear polynomials.

(v)The highest degree of $t$ in $3t$ is $1$, so it is a linear polynomials.

(vi)The highest degree of $r$ in $r^2$ is $2$, so it is a quadratic polynomials.

(vii)The highest degree of $x$ in $7x^3$ is $3$, so it is a cubic polynomials.