Respuesta :
The factors of the specified polynomial by the grouping the polynomial and taking out GCF is,
[tex](4x+5)(5x-3)[/tex]
What is the factor of polynomial?
Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The given polynomial expression in the problem is,
[tex]20x^2+25x-12x-15[/tex]
Factor the above polynomial by grouping as,
[tex](20x^2+25x)+(-12x-15)[/tex]
Factor the greatest common factor (GCF) from each group as,
[tex]5x(4x+5)-3(4x+5)\\[/tex]
Write the polynomial as a product of binomials as,
[tex]5x(4x+5)-3(4x+5)\\(4x+5)(5x-3)[/tex]
The above polynomial is written as a product of binomials.
Hence, the factors of the specified polynomial by the grouping the polynomial and taking out GCF is,
[tex](4x+5)(5x-3)[/tex]
Learn more about factor of polynomial here;
https://brainly.com/question/24380382
Answer:
its 4 and 5 in the blank spots :)
Step-by-step explanation: