Question

For the algebraic expression 4x3y – 2xy + 5, write the degree and identify the type of algebraic expression.

Answer 1

$\underline { \pink { Degree \:of\:the\: polynomial : }}$

The degree of a polynomial is the largest degree of its variable term

$Given \: expression : 4x^{3}y -2xy + 5$

$i) Degree \:of \:the \: first \:term \\= sum \:of \:the \: exponents \:of \:the \: variables \\= 3 + 1 \\= 4$

$ii)Degree \:of \:the \: second \:term\\ = 1 + 1 \\= 2$

$iii)Degree \:of \:the \: third\:term = 0$

$\therefore\red{ Degree \:of \:the \: polynomial }\green {= 4}$

$Number \:terms \: in \:the \: expression = 3$

$\therefore \blue { It \:is \: a \:cubic \: polynomial.}$

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