Factor each polynomial expression and explain the factoring process used.

Answers:b) [tex]x(25x-1)[/tex]c) [tex]x^{2}-4(x-3)[/tex]d)[tex]4x(x-5)+25[/tex]e)[tex]2(3x^{2}+11x+14)[/tex]Step-by-step explanation:b) We have the following expression:[tex]25x^{2}-x[/tex]Applying common factor [tex]x[/tex]:[tex]x(25x-1)[/tex]c) We have the following expression:[tex]x^{2}-4x+12[/tex]Applying common factor [tex]4[/tex]:[tex]x^{2}-4(x-3)[/tex]d)We have the following expression:[tex]4x^{2}-20x+25[/tex]Applying common factor [tex]4x[/tex]:[tex]4x(x-5)+25[/tex]e)We have the following expression:[tex]6x^{2}+22x+28[/tex]Applying common factor [tex]2[/tex]:[tex]2(3x^{2}+11x+14)[/tex]