`f(x)=2x^(3)+6x^(2)+4x`
`g(x)x^(2)+3x+2`
The polynomials f (x ) and g (x ) are defined above. Which of the following polynomials is divisible by 2x+3 ?

p(x)=3x^(3)+15x^(2)+18x q(x)=x^(2)+5x+6 The polynomials p(x) and q(x) are defined above. Which of the following polynomials is divisible by 3x-2?

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

What must be added to the polynomial f(x)=x^4+2x^3-2x^2+x-1 so that the resulting polynomial is exactly divisible by x^2+2x-3 ?

The polynomial x^6+4x^5+3x^4+2x^3+x+1 is divisible by

What must be added to the polynomial f(x)=x^(4)+2x^(3)-2x^(2)+x-1 so that the resulting polynomial is exactly divisible by x^(2)+2x-3?

What must be subtracted from the polynomial f(x)=x^4+2x^3-13 x^2-12 x+21 so that the resulting polynomial is exactly divisible by x^4-4x+3 ?

If f(x)=kx^(2)-3x+k and g(x) = x - 1 be two polynomials, then g(x) will be a factor of f(x) when k =

What must be added to f(x)=4x^4+2x^3-2x^2+x-1 so that the resulting polynomial is divisible by g(x)=x^2+2x-3.

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

What must be added to f(x)=4x^(4)+2x^(3)-2x^(2)+x-1 so that the resulting polynomial is divisible by g(x)=x^(2)+2x-3