To divide the polynomials, we use long division or synthetics division.
[tex]\begin{gathered} P(x)=12x^4+9x^3+7x^2_{} \\ D(x)=3x^2_{}+1 \end{gathered}[/tex]
First, complete the greater polynomial.
As you can observe, the remainder is 3x+1, the quotient is 4x^2 + 3x + 1. Let's express P(x).
Therefore, P(x) is
[tex]P(x)=(3x^2+1)(4x^2+3x+1)+3x+1[/tex]
