Coefficient of x
2
in (x+5)(3−2x)(4x−2) is

Let's expand the expression step-by-step:
First, multiply the first two terms:

(x+5)(3−2x)=x(3)+x(−2x)+5(3)+5(−2x)
=3x−2x
2
+15−10x=−2x
2
−7x+15
Now, multiply this result by the third term (4x−2):

(−2x
2
−7x+15)(4x−2)
To find the coefficient of x
2
, look at the terms that result in x
2
:

(−2x
2
)×(−2)=4x
2


(−7x)×(4x)=−28x
2


Summing these terms up:

4x
2
−28x
2
=−24x
2

Thus, the coefficient of x
2
is −24.