Question

If alpha and beta are zeros of polynomial X square minus X minus 30 then form a quadratic polynomial whose zeros are 2 minus alpha and 2 minus beta

Answer 1

Answer:

x² - 3x - 28

Step-by-step explanation:

If alpha and beta are zeros of polynomial X square minus X minus 30 then form a quadratic polynomial whose zeros are 2 minus alpha and 2 minus beta

x² - x - 30

Zeroes are α & β

α + β = - (-1)/1= 1

αβ = -30/1 = -30

Zeroes 2 - α   & 2- β

Sum of zeroes = 2 - α  + 2- β

= 4 - (α + β)

= 4 - 1

= 3

Product of Zeroes = (2 - α)(2- β)

= 4 + αβ  - 2(α + β)

= 4 - 30 -2(1)

=-28

x² - 3x - 28

Answer 2

X2-x-30=0 a Is 1 b is -1 c is -30 see attachment