WILL MARK BRAINLIEST
Find the factorization for the polynomial 100x^2- 20x+1

A.) (50x+1)^2
B.) (10x+1)^2
C.) (10x-1)^2
D.)(50x-1)^2

Respuesta :

Answer:

[tex]\Large \boxed{\mathrm{\bold{C.}} \ (10x-1)^2}[/tex]

Step-by-step explanation:

[tex]100x^2- 20x+1[/tex]

Rewriting -20x as -10x-10x.

[tex]100x^2- 10x-10x+1[/tex]

Factoring the two groups.

[tex]10x(10x-1)-1(10x-1)[/tex]

Taking (10x - 1) as a common factor.

[tex](10x-1)(10x-1)[/tex]

[tex](10x-1)^2[/tex]

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