p(x)=2x^(3)-5x^(2)-14x+8

Find the remainder when p(x)=4x^(3)-12x^(2)+14x-3 is divided by g(x)=x-(1)/(2)

Divide the polynomial f(x)=14x^(3)-5x^(2)+9x-1 by the polynomial g(x)=2x-1. Also,find the quotient and remainder.

if alpha,beta,gamma are the roots of 2x^(3)-5x^(2)-14x+8=0 then find alpha+beta+gamma

3x^(2)+14x+8

By remainder theorem , find the remainder when p(x) is divided by g(x) where , (i) p(x) =x^(3) -2x^2 -4x -1 ,g(x) =x+1 (ii) p(x) =4x^(3) -12x^(2) +14x -3,g(x) =2x-1 (iii) p(x) =x^(3) -3x^(2) +4x +50 ,g(x) =x-3

f(x)=4x^(3)-12x^(2)+14x-3,g(x)=2x-1

Assertion (A): p(x)=14x^(3)-2x^(2)+8x^(4)+7x-3 is a polynomial of degree 3. Reason (R):The highest power of x in the polynomial p(x) is the degree of the polynomial.

Find the GCD of the given polynomials 3x^(4)+6x^(3)-12x^(2)-24x, 4x^(4)+14x^(3)+8x^(2)-8x

Write the degree fo the following polynomials. (i) 3x^(5)-7x^(2)+8x-2x^(2)+10 (ii) 2x^(9)-3x^(2)-14x^(3)-15x^(4)