How do you factor #2x^2-5x+2#?
3 Answers
Explanation:
Ok, we are just going to factor this one out!
Break it into groups
At this point we can factor out x and -2 respectively
Then factor out the common term
Hope this helped!
~Chandler Dowd
Explanation:
#"the factors of + 4 which sum to - 5 are - 4 and - 1"#
#"splitting the middle term"#
#2x^2-4x-x+2larrcolor(blue)"factor by grouping"#
#=color(red)(2x)(x-2)color(red)(-1)(x-2)#
#"take out "color(blue)"common factor "(x-2)#
#=(x-2)(color(red)(2x-1))#
#rArr2x^2-5x+2=(x-2)(2x-1)#
Explanation:
All the information is in the trinomial.
Find the factors of
The
- ADD the factors to get the middle number
- the sign in the brackets will be the SAME.
Note that
Now
As
SO know we know:
We also know the signs will be the SAME.
The sign of the middle term
Check by multiplying: