Write the zeros of the polynomial `x^2-x-6` .

If x=(5)/(3) and x=-(1)/(2) are the zeroes of the polynomial ax^(2)-7x+b , then find the values of a and b.

The sum of the zeroes of the polynomial 2x^(2) - 8x+ 6 is

One of the zeroes of the polynomial 2x^(2)+7x-4 is

Find the zeros of the polynomial f(x)=x^3-5x^2-16 x+80 , if its two zeros are equal in magnitude but opposite in sign.

Verify that (i) 3 is a zero of the polynomial x-5. (ii) -2 is a zero of the polynomial x+2. (iii) (7)/(3) is a zero of the polynomial 3x-7. (iv) 2 and 3 are zeros of the polynomial (x-2)(x-3). (v) (13)/(2) and -3 are zeros of the polynomial 2x^(2)-7x-39 .

Find all the zeros of the polynomial f(x)=2x^4-3x^3-3x^2+6x-2 , if two of its zeros are sqrt(2) and -sqrt(2) .

Verify whether 2 and 0 are zeroes of the polynomial x^2-2x .

If alpha,beta are zeroes of the polynomial x^2-2x-15 , then form a quadratic polynomial whose zeroes are (2alpha) and (2beta) .

If the product of zeroes of the polynomial (ax^(2)-6x-6) is 4, find the value of a.

Find the zeros of the polynomial f(x)=x^3-5x^2-2x+24 , if it is given that the product of its two zeros is 12.