Divide `p(x)=x^3+3x^2+3x+1` by `g(x)=x+2`

divide f(x)=5x^2+3x+1 by g(x)=2x

(iv) Divide P(x)=2x^(2)-3x+5 by g(x)=x-3

Divide x^(3)+3x^(2)+3x+1 by x-1/2

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: (i) p(x) = x^3 - 3x^2 + 5x - 3, g(x) = x^2 - 2 (ii) p(x) = x^4 - 3x^2 + 4x - 5, g(x) = x^2 + 1 - x (iii) p(x) = x^4 - 5x + 6, g(x) = 2 - x^2

Divide (x^(3)+2x^(2)+3x) by 2x

Divide P(x) by g(x) and find the quotient and remainder. p(x)=x^(3)-3x^(2)+4x+5, g(x)=x^2+1-x

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x)=2x^3+x^2-2x-1,g(x)=x+1 (ii) p(x)=x^3+3x^2+3x+1,g(x)=x+2 (iii) p(x)=x^3+4x^2+x+6,g(x)=x-3

Use the factor theorem, to determine whether g(x) is a factor of p(x) in each of the following cases : (i) p(x)=2x^(3)+x^(2)-2x-1,g(x)=x+1 (ii) p(x)=x^(3)+3x^(2)+3x+1,g(x)=x+2 (iii) p(x)=x^(3)-4x^(2)+x+6,g(x)=x-3