p_(1)x_(1)=8+20x-6x^(3)+x^(2)quad g(x)=2+5x

Verify division algorithm for the polynomials f(x)=8+20x+x^(2)-6x^(3) and g(x)=2+5x-3x^(2)

If p(x)=8x^(3)-6x^(2)-4x+3 and g(x) = (x)/(3)-(1)/(4) then check whether g (x) is a factor of p(x) or not.

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) - 5 x + 6 g(x) = 2 - x^(2)

f(x)=x^(3)-6x^(2)+2x-4,g(x)=1-2x

In each of the following cases, use factor theorem to find whether g(x) is a factor of the polynomial p(x) or not. p(x)= x^(3)-3x^(2)+6x-20 g(x)= x-2

Devide p(x) by g(x) in each of the following cases and verify division algorithm: p(x)= x^(3)+4x^(2)-5x+6, g(x)= x+1

Find the quotient and remainder on dividing p(x) by g(x) p(x)= 4x^(3)+8x^(2)+8x+7, g(x)= 2x^(2)-x+1

Using factor theorem , show that g (x) is a factor of p(x) , when p(x)=2x^(4)+x^(3)-8x^(2)-x+6,g(x)=2x-3

Using factor theorem , show that g (x) is a factor of p(x) , when p(x)=2x^(4)+9x^(3)+6x^(2)-11x-6,g(x)=x-1

Use the Factor Theorem to determine whether g(x) is factor of f(x) in each of the following cases : (i) f(x)=5x^(3)+x^(2)-5x-1, g(x)=x+1 (ii) f(x)=x^(3)+3x^(2)+3x+1,g(x)=x+1 (iii) f(x)=x^(3)-4x^(2)+x+6,g(x)=x-2 (iv) f(x)=3cx^(3)+x^(2)-20x+12,g(x)=3x-2 f(x)=4x^(3)+20x^(2)+33x+18,g(x)=2x+3