Question

A polynomial​ p(x) and a divisor​ d(x) are given. use long division to find the quotient​ q(x) and the remainder​ r(x). express​ p(x) in the form​ p(x) = ​d(x) times •​q(x)plus+​r(x).

Answer 1

x^2 - 5x + 23 __________________________________ x+10 /x^3 + 5x^2 -27x +230 x^3 + 10x^2 =========== -5x^2 -27x -5x^2 -50x ========== 23x + 230 23x + 230 ========= 0 this makes Q(x)=X^2-5X+23 and R(X)=0 makes P(X)=(X+10)*(X^2-5X+23)