Divide the given polynomial by the given monomial: `(5x^2-6x):- 3x`

Divide the given polynomial by the given monomial: (x^3+2x^2+3x):-2x

Divide the given polynomial by the given monomial: (p^3q^6-p^6q^3):-p^3q^3

Divide the given polynomial by the given monomial: 8(x^3y^2z^2 +x^2y^3z^2+x^2y^2z^3):-4x^2y^2z^2

Divide the given polynomial by the given monomial: (3y^8-4y^6+5y^4):- y^4

(i) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: t^2-3,2t^4+3t^3-2t^2-9t-12 (ii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial x^2+3x+1, 3x^4+5x^3-7x^2+2x+2 (iii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: x^3-3x+1, x^5-4x^3+x^2+3x+1

(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

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)

Find the zeroes of the given polynomials. p(x)=x^(2)+5x+6