Is the polynomial `2 x ^(2) + 3 xy + 5y ^(2)` in one variable ?

If the polynomials x ^(3) + ax ^(2) + 5 and x ^(3) - 2x ^(2)+a are divided by (x +2) leave the same remainder. Find the value of a.

Write the degree of the polynomial P(x) = x^(3) + 2x^(2) - 5x - 6

Find the zeroes of the polynomial p(y) =y^3 - 5y^2 - 16y + 80 . Zero are alpha ,- alpha and beta

(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

Find the values of the following polynomials: p(x) = -x^(3) + x^(2) - 6x + 5 , when x = 2

The third zero of a polynomial f(x) = 2x^(3) + 3x^(2) - 5x + 10 whose product to two zeros is 5.

Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. (i) 4x^2-3x+7 (ii) y^2+sqrt2 (iii) 3sqrtt+tsqrt2 (iv) y+2/y (v) x^(10)+y^(3)+t^(50)

Write the degree of each of the following polynomials (i) 7x ^(3) + 5x ^(2) + 2x -6 (ii) 7-x + 3x ^(2) (iii) 5p- sqrt3 (iv) 2 (v) - 5xy ^(2)