# Identify constant, linear, quadratic, cubic and quartic polynomials from the following.

Question:

Identify constant, linear, quadratic, cubic and quartic polynomials from the following.

(i) $-7+x$

(ii) $6 y$

(iii) $-z^{3}$

(iv) $1-y-y^{3}$

(v) $x-x^{3}+x^{4}$

(vi) $1+x+x^{2}$

(vii) $-6 x^{2}$

(viii) $-13$

(ix) $-p$

Solution:

(i) $-7+x$ is a polynomial with degree $1 .$ So, it is a linear polynomial.

(ii) $6 y$ is a polynomial with degree $1 .$ So, it is a linear polynomial.

(iii) $-z^{3}$ is a polynomial with degree $3 .$ So, it is a cubic polynomial.

(iv) $1-y-y^{3}$ is a polynomial with degree 3 . So, it is a cubic polynomial.

(v) $x-x^{3}+x^{4}$ is a polynomial with degree $4 .$ So, it is a quartic polynomial.

(vi) $1+x+x^{2}$ is a polynomial with degree 2 . So, it is a quadratic polynomial.

(vii) $-6 x^{2}$ is a polynomial with degree $2 .$ So, it is a quadratic polynomial.

(viii) $-13$ is a polynomial with degree $0 .$ So, it is a constant polynomial.

(ix) $-p$ is a polynomial with degree $1 .$ So, it is a linear polynomial.