What is the factorization of the polynomial below?

2x2 + 20x + 50

A. (x + 2)(x + 5)
B. (2x + 5)(x + 5)
C. 2(x + 5)(x + 5)
D. (x + 5)(x + 10)

Respuesta :

the answer is C
2(x + 5)(x + 5)

Answer:

c.

Step-by-step explanation:

The equation is [tex]2x^{2} +20x+50[/tex]

First, we apply common factor

[tex]2(x^{2} +10x+25)[/tex]

Then, we factorize the trinomial at the form (x+ )(x+ ) searching two numbers that multiplied are 25 and added are 10, in this case 5 and 5.

[tex]2(x+5)(x+5)[/tex].

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