Chapter SH, Problem 8.15EP

To determine

To factor polynomial

  $12j^4{k}^4+36j^3{k}^2-3j^2{k}^5$

Answer to Problem 8.15EP

  $3j^2{k}^2(4j^2{k}^2+12j-k^3)$

Explanation of Solution

Given information:

  $12j^4{k}^4+36j^3{k}^2-3j^2{k}^5$

Calculation:

  $12j^4{k}^4+36j^3{k}^2-3j^2{k}^5$

Common factor in each term

  $12j^4{k}^4=2\times 2\times 3\times j\times j\times j\times j\times k\times k\times k\times k$

  $36j^3{k}^2=2\times 2\times 3\times 3\times j\times j\times j\times k\times k$

  $3j^2{k}^5=3\times j\times j\times k\times k\times k\times k\times k$

Take $3j^2{k}^2$ common

  $=3j^2{k}^2(4j^2{k}^2+12j-k^3)$