Factor each polynomial expression and explain the factoring process used.
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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]