In C$++$

Q$3.$ The following is the product of two polynomials of degree $2$:

$(a{x}^2+bx+c)(d{x}^2+ex+f)=(ad)x^4+(ae+bd)x^3+(af+be+cd)x^2+(bf+ce)x+(cf)$

Write a program that prompts the user for doubles to be placed in double variables $a,b,c,d,e,f$ and integer value for integer variable $n,$ and prints the product $(a{x}^2+bx+c)(d{x}^2+ex+f).$ The doubles printed must be to $n$ decimal places in fixed point format where the value of $n$ is the last user$-$input value.

$[$In the test cases below, because of the page width of this document, you see wraparound. In your program, you should not print a newline in the middle of the polynomial.$]$

TEst $1.$

$(1x^{-2}+2x+3)(4x^{-}2+5x+6)=4x^{-4}+13x^{-}3+28x^{-}2+27x+18$

TEst $3.$

$1\mathrm{.}12\mathrm{.}23\mathrm{.}34\mathrm{.}45\mathrm{.}56\mathrm{.}61$

$(1\mathrm{.}1x^{{?}^{{?}^{?}}}2+2\mathrm{.}2x+3\mathrm{.}3)(4\mathrm{.}4x^{{?}^{{?}^{?}}}2+5\mathrm{.}5x+6\mathrm{.}6)=4\mathrm{.}8x^{{?}^{{?}^{?}}}4+15\mathrm{.}7x^{{?}^{{?}^{?}}}3+33\mathrm{.}9x^{{?}^{{?}^{?}}}2+$

$32\mathrm{.}7x+21\mathrm{.}8$

TEST $4.$

$1\mathrm{.}2344\mathrm{.}3212\mathrm{.}3455\mathrm{.}4323\mathrm{.}4566\mathrm{.}5433$

$($:$(1\mathrm{.}234x^{{?}^{{?}^{?}}}2)+(4\mathrm{.}321x+2\mathrm{.}345)(5\mathrm{.}432x^{{?}^{{?}^{?}}}2)+3\mathrm{.}456x\}$

$27\mathrm{.}736x^{{?}^{{?}^{?}}}3+35\mathrm{.}745x^{-}2+36\mathrm{.}377x+15\mathrm{.}343$