Question

find the coefficient of x power 2 in ( 3x power 2 -5) (4+4)x power 2)​

Answer 1

Step-by-step explanation:

Let p(x)=1+x+2x2+3x3 and q(x)=1+x+2x2+3x3+4x4. Then

(q(x))4−(p(x))4=(q(x)−p(x))A(x)

for some polynomial A(x). But q(x)−p(x)=4x4, so (q(x))4−(p(x))4 is divisible by x4. It follows that all coefficients of xk for k≤3 are 0.