The following polynomial $f(x)=2x^6+5x^3+x^2+6$ can be represented as array$-$based dynamically allocated memory,

storing the coefficients of each term in the subscript equal to an exponent. The array representation is in the language

$C++$ :

int $*myPoly=$ nullptr;

myPoly $=$ new int $[*degree+1]$;

$(*myPoly+0)(*myPoly+1)(*myPoly+2)(*myPoly+3)(*myPoly+4)(*myPoly+5)(*myPoly+6)$

$\{\begin{array}{ccc}\text{:}[6,& 0,1,5,0,& 0]\end{array}$

$2$

To evaluate a polynomial at an $x$ value, for $x=3$

$f(x)=2(3{)}^6+5(3{)}^5+1(3{)}^2+6(3{)}^0=178$

Output Program:

Enter the degree of the polynomial: $6$

Enter the coefficient of $x^6$:$2$

Enter the coefficient of $x^5$:$0$

Enter the coefficient of $x^4$:$0$

Enter the coefficient of $x^3$:$5$

Enter the coefficient of $x^2$:$1$

Enter the coefficient of $x^1$:$0$

Enter the coefficient of $x^0$:$6$

Enter the value to evaluate the polynomial: $2$

$P(2)$ is $178$

The Polynomial is $2x^6+5x^3+1x^2+6x^0+$

Press any key to continue $...$

Student Instructions:

Complete the instructions missing in the following program.

#include $$ iostream $>$The following polynomial f$($x$)=2$x$^6+5$x$^3+$x$^2+6$ can be represented as array$-$based dynamically allocated memory, storing the coefficients of each term in the subscript equal to an exponent. The array representation is in the language C$++$:

int $*$myPoly $=$ nullptr;

myPoly $=$ new int$[*$degree $+1]$;

$(*$myPoly$+0)(*$myPoly$+1)(*$myPoly$+2)(*$myPoly$+3)(*$myPoly$+4)(*$myPoly$+5)(*$myPoly$+6)$

$6015002$

To evaluate a polynomial at an x value, for x$=3$

f$($x$)=2(3)^6+5(3)^5+1(3)^2+6(3)^0=178$

Output Program:

Enter the degree of the polynomial: $6$

Enter the coefficient of x$^6$: $2$

Enter the coefficient of x$^5$: $0$

Enter the coefficient of x$^4$: $0$

Enter the coefficient of x$^3$: $5$

Enter the coefficient of x$^2$: $1$

Enter the coefficient of x$^1$: $0$

Enter the coefficient of x$^0$: $6$

Enter the value to evaluate the polynomial: $2$

P$(2)$ is $178$

The Polynomial is $2$x$^6+5$x$^3+1$x $^2+6$x$^0+$

Press any key to continue $...$

Student Instructions:

Complete the instructions missing in the following program.

#include $$ iostream$>$

using namespace: :std;

int $*$ getcoefficients$($int $*$degree$)\{$

int $*$myPoly $=$ nullptr;

myPoly $=$ new int$[*$degree $+1]$;

for $($int i $=*$degree; i $>=0$; i$--)\{$

cout $$ "Enter the coefficient of xdegree;

$//$ define dynamic memory allocated for all variables

myPoly $=$ getCoefficients $(//$write the argument missing$)$;

cout $$ "Enter the value to evaluate the polynomial: $"$;

$//$ get the x value

fx $=$ EvaluatePoly $(//$write the arguments missing $)$;

$//$ show f$($x$)$ value

displayPoly$($myPoly$,$ degree$)$;

$//$free the memory

Return $0$;

$\}//$end main