Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(vi) $4, 1$

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(i) $\frac{1}{4}, -1$

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(v) $-\frac{1}{4}, \frac{1}{4}$

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(ii) $\sqrt{2}, \frac{1}{3}$

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
(i) $x^2 - 2x - 8$

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
(ii) $4s^2 - 4s + 1$

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
(iii) $6x^2 - 3 - 7x$

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
(iv) $4u^2 + 8u$

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(iii) $0, \sqrt{5}$

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(iv) $1, 1$

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
(v) $t^2 - 15$

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
(vi) $3x^2 - x - 4$