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 =
Mathematics
ashleymauk3323
Question
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
A. 2x – 5 = 0
B. x + 4 = 0
C. 2x – 5 = x – 4
D. 2x + 5 = 0
E. x – 4 = 0
2 Answer

1. User Answers 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 
2. User Answers virtuematane
Answer:
Hence, the correct options are:
A. 2x5 = 0
and E. x4 = 0
Stepbystep explanation:
We are given a factorization of a polynomial function as:
[tex]2x^213x+20=(2x5)(x4)[/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^213x+20=0[/tex]
which could also be written as:
[tex](2x5)(x4)=0[/tex]
Hence, the equation that satisfy this equation is:
 [tex]2x5=0[/tex]
 [tex]x4=0[/tex]
Hence, the correct options are:
A. 2x5 = 0
and E. x4 = 0