Question

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

Answer 1

Let the polynomial be , and its zeroes be and .

Therefore, the quadratic polynomial is 4x² − x − 4.

Let the polynomial be , and its zeroes be and .

Therefore, the quadratic polynomial is 3x² − x + 1.

Let the polynomial be , and its zeroes be and .

Therefore, the quadratic polynomial is .

Let the polynomial be , and its zeroes be and .

Therefore, the quadratic polynomial is .

Let the polynomial be , and its zeroes be and .

Therefore, the quadratic polynomial is .

Let the polynomial be .

Therefore, the quadratic polynomial is.