Question

Factor completely: 32x^2 − 80x + 50

Answer 1

A. 2(4x − 5)(4x − 5)
B. 2(4x + 5)(4x + 5)
C. 2(8x − 5)(8x − 5)
D. 2(8x + 5)(8x + 5)

Answer 2

Can you divide the whole equation by 2 first?

Answer 3

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531
Can you divide the whole equation by 2 first?
\(\color{#0cbb34}{\text{End of Quote}}\)
yes?

Answer 4

So what would you get

Answer 5

\[\frac{ 32x^2-80x+50 }{ 2 }\]

Answer 6

im confused :(

Answer 7

We can expand on ^^ equation to \[\frac{ 32x^2 }{ 2 } - \frac{ 80x }{ 2 } + \frac{ 50 }{ 2 }\]

Answer 8

ok, 16x, 40x and 25?

Answer 9

Yes so we have \[16x^2 -40x + 25\]

Answer 10

Now, which ones can you eliminate looking at 16x^2

Answer 11

hint, look at the choices where the differences are 4 and 8

Answer 12

common factor
32x-80+50

Answer 13

we can eliminate a and b?

Answer 14

No, if we eliminated a and b, we would be left with c and d, which would maek 64x^2

Answer 15

2(16X-40+25

Answer 16

ohhhh

Answer 17

Use the sum-product pattern
Common factor from the two pairs

Answer 18

So you eliminate the third and fourth

Answer 19

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531
So you eliminate the third and fourth
\(\color{#0cbb34}{\text{End of Quote}}\)
ok

Answer 20

And so now, we just look at the middle one
In this case, it is a negative number

So, which one would we choose

Answer 21

2(4𝑥−5)^2

Answer 22

It's A

Answer 23

i think it's A

Answer 24

\(\color{#0cbb34}{\text{Originally Posted by}}\) @carmelle
It's A
\(\color{#0cbb34}{\text{End of Quote}}\)
yes

Answer 25

tysm, im so bad at factoring o-o

Answer 26

tbh, I usually just like to guess around xd, and not actually think thru it

Answer 27

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531
tbh, I usually just like to guess around xd, and not actually think thru it
\(\color{#0cbb34}{\text{End of Quote}}\)
lol, I'll try that

Answer 28

So, especially with these, you have choices, you could just factor it out using FOIL and see which one is right

Answer 29

ok :D