ashleyfunes872
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Which of the following is the correct factorization of the trinomial below
-7x^2-4x+20

A: (-7x+10)(x-2)
B: -1(7x-10)(x=2)
C: -7(x-5)(x+2)
D: 7(x+10)(-x+2)

Respuesta :

iiMGii
ANSWER:

B : - 1 ( 7x - 10 ) ( x + 2 )

STEP-BY-STEP SOLUTION:

= - 7x^2 - 4x + 20

= - [ 7x^2 + 4x - 20 ]

= - [ 7x^2 + 14x - 10x - 20 ]

= - [ 7x ( x + 2 ) - 10 ( x + 2 ) ]

= - ( x + 2 ) ( 7x - 10 )

= - 1 ( 7x - 10 ) ( x + 2 )

Answer:

A: (-7x+10)(x-2)

Step-by-step explanation:

Given trinomial,

[tex]-7x^2-4x+20[/tex]

By middle term splitting,

[tex]=-7x^2-(14-10)x+20[/tex]

[tex]=-7x^2-14x+10x+20[/tex]  

[tex]=-7x(x+2)+10(x+2)[/tex]        

[tex]=(-7x+10)(x+2)[/tex]            

Since, further factorization is not possible,

Thus, the required factorized form of the given trinomial is,

[tex](-7x+10)(x+2)[/tex]    

Option A is correct.

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