(1 point) Suppose that f(x) and g(x) are given by the power series f(x)=5+4x+4x2+4x3+⋯
and
g(x)=7+4x+2x2+2x3+⋯.
By multiplying power series, find the first few terms of the series for the product
h(x)=f(x)⋅g(x)=c0+c1x+c2x2+c3x3+⋯.

i'm not entirely sure

step-by-step explanation:

if you ask home depot or lowe's they might be able to you out

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.