Question

if a and b are the zeros of the polynomial P of x is equal to 2 x square - 12 x + 2 y find the value of a2+b2​

Answer 1

Given :

• p(x) = 2x² - 12x + 2y
• a and b are the zeroes of p(x)

To Find :

• a² + b²

Solution :

a² + b² can be written as (a + b)² - 2ab

Here, a and b are zeroes of polynomial

sum of zeroes = -b/a

= -(-12)/2

= 6

==> a + b = 6 ----- equation 1

product of zeroes = c/a

= 2y/2

= y

==> ab = y ------ equation 2

Substitute equation 1 & 2 in (a+b)² - 2ab

a² + b² = (a + b)² - 2ab

a² + b² = (6)² - 2(y)

a² + b² = 36 - 2y