Chapter 8.2, Problem 2CYU

To determine

To find: the LCM of polynomials.

Answer to Problem 2CYU

The LCM of the polynomials is $63a{b}^3{c}^4$ .

Explanation of Solution

Given information:

The polynomials are $7a^2,9a{b}^3,21ab{c}^4$

Calculation: to find the LCM od the polynomials, first factorise the polynomials and then multiply one of each factor and repeat factors with highest exponents,

  $\begin{array}{l}7a^2=7·a·a\text{ [factor]}\\ 9a{b}^3=3·3·a·b·b·b\text{ [factor]}\\ 21ab{c}^4=3·7·a·b·c·c·c·c\text{ [factor]}\\ \text{LCM}=7·3·3·a·b^3·c^4\text{ [multiply the common factor and each factors]}\\ \text{LCM}=63a{b}^3{c}^4\end{array}$

Thus, the LCM of the polynomials is $63a{b}^3{c}^4$ .