Question

Write the degree of each of the following polynomials:
$7-5ab+11b^{2}c-13{ab}^{2}c+14a^2{bc}^2+17a^{2}bc$

Answer 1

The degree of a polynomial is the highest of the degrees of its monomials with non-zero coefficients.

Degree of

first term$=7=0$

Second term$=5ab=1+1=2$

Third term$=11b^{2}c=2+1=3$

Fourth term$=-13a{b}^2=1+2=3$

Fifth term$=14a^{2}b{c}^2=2+1+2=5$

Sixth term$=17a^{2}bc=2+1+1=4$

$\therefore$ the highest power is $5$

$\therefore$ Degree of the polynomial$=5$