Factorization is the process of breaking an integer down into its components or divisors, and further calculation can be defined as follows:
Given:
[tex]20x^{2} +124x+24[/tex]
To find:
solve the given problem
Solution:
[tex]\to \bold{20x^{2} +124x+24}\\\\\to \bold{4(5x^{2} +31x+6)}\\\\\to \bold{4(5x^{2} +31x+6)}\ \ \ \ \ \ \ \ \ \ \ 5\times 6= 30 \ \ and\ \ 30 \times 1= 30\\\\\to \bold{4(5x^{2} +(30+1)x+6)}\\\\\to \bold{4(5x^{2} +30x+1x+6)}\\\\\to \bold{4(5x(x +6)+1(x+6)}\\\\\to \bold{4((x +6) (5x+1)}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{4((x+6)(5x+1))}[/tex]".
Learn more:
brainly.com/question/10755001
