Question

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

(i) $-7+x$

(ii) $6y$

(iii) $-z^3$

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

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

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

(viii) $-6x^2$

(viii) $-13$

(ix) $-p$

Answer 1

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

(ii) $6y$ 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.

(viii) $-6x^2$ 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.