Mathematics

Question

Factor completely 2x3 + 10x2 + 4x + 20.
2(x3 + 5x2 + 2x + 10)

2[(x + 5)(x2 + 2)]

(2x + 10)(x2 + 2)

(x + 5)(2x2 + 4)

0 Comment.

2 Answer

  • 2x^3 + 10x^2 + 4x + 20
    = 2(x^3 + 5x^2 + 2x + 10)
    = 2[x^2(x + 5) + 2(x + 5)]
    = 2[(x+5)    (x^2 + 2)]

    answer
    2[(x + 5)(x^2 + 2)] 

  • Answer:

    Step-by-step explanation:

    Alright, lets get started.

    The given expression is :

    [tex]2x^3+10x^2+4x+20[/tex]

    taking 2 common factor

    [tex]2(x^3+5x^2+2x+10)[/tex]

    [tex]2(x^3+2x+5x^2+10)[/tex]

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

    So, the correct answer is option B :    answer

    Hope it will help :)