Dividing polynomialx4-9x2+9 by x2-3x, the quotient and the remainder are :
On, Dividingp(x)=x⁴–9x²+9by g(x)=x²–3x
x2-3x)x4-9x2+9(x2+3xx4-3x3-+3x3-9x2+93x3-9x2-+9
We getq(x)=x²+3x and r(x)=9 ( q(x),r(x)are quotient and remainder respectively )
Hence, q(x)=x²+3x and r(x)=9 is the correct answer.