Question

Find aquadratic polynomial whose zeroes are√15&-√15

Answer 1

Answer:

The quadratic polynomial with α and β as zeroes is x2�− (α + β)x + (αβ)

Given zeroes of the polynomial are 3+√5�and 3-√5

Hence the quadratic polynomial is:

x2�− (3+√5 + 3 −√5)x + (3+√5)(3 −√5)

= x2�− 6x + (9 −5)

= x2�− 6x + 4

Thus the quadratic polynomial is ( x2�− 6x + 4).

Step-by-step explanation:

Answer 2

Answer:

The quadratic polynomial with α and β as zeroes is x2�− (α + β)x + (αβ)

Given zeroes of the polynomial are 3+√5�and 3-√5

Hence the quadratic polynomial is:

x2�− (3+√5 + 3 −√5)x + (3+√5)(3 −√5)

= x2�− 6x + (9 −5)

= x2�− 6x + 4

Thus the quadratic polynomial is ( x2�− 6x + 4).

Step-by-step explanation: