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If 2x2 – 13x + 20 = (2x – 5)(x – 4), which equation(s) should be solved to find the roots of 2x2 – 13x + 20 = 0? Check all that apply.

A. 2x – 5 = 0
B. x + 4 = 0
C. 2x – 5 = x – 4
D. 2x + 5 = 0
E. x – 4 = 0

Respuesta :

choixongdong
2x^2 – 13x + 20
= (2x – 5)(x – 4)

to find roots of 0 then (2x – 5)(x – 4) = 0
then (2x – 5) = 0 and (x – 4) = 0

answer
A. 2x – 5 = 0
E. x – 4 = 0

Answer:

Hence, the  correct options are:

A. 2x-5 = 0

and  E. x-4 = 0

Step-by-step explanation:

We are given a factorization of a polynomial function as:

[tex]2x^2-13x+20=(2x-5)(x-4)[/tex]

The roots of the equation are the possible value of x such that the polynomial function is zero at that point.

i.e. we have to find x such that:

[tex]2x^2-13x+20=0[/tex]

which could also be written as:

[tex](2x-5)(x-4)=0[/tex]

Hence, the equation that satisfy this equation is:

  • [tex]2x-5=0[/tex]
  • [tex]x-4=0[/tex]

Hence, the  correct options are:

A. 2x-5 = 0

and  E. x-4 = 0

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