Given:
The polynomial is given as,
[tex]\begin{gathered} p(x)=2x^3+4x^2-5 \\ g(x)=x+3 \end{gathered}[/tex]
The objective is to divide the polynomial by synthetic division.
Explanation:
The general equation of a polynomial with degree 3 is,
[tex]f(x)=ax^3+bx^2+cx+d[/tex]
So, consider the given polynomial as,
[tex]p(x)=2x^3+4x^2+0x-5[/tex]
The divisor can be converted as,
[tex]\begin{gathered} x+3=0 \\ x=-3 \end{gathered}[/tex]
To find synthetic division:
Now, the synthetic division can be evaluated as,
Hence, the remainder of the division is -23.
