Question

if alpha,beta are the two zeroes of polynomial 25p^2-15p+2.find a quadratic polynomial who's zero are 1/2alpha and 1/2beta

Answer 1

Thus so

25 P ² - 15 P + 2

. 25 P ² - 10 P - 5 P + 2

5 P ( 5 P - 2 ) - 1 ( 5 P - 2 )

. P = 1 / 5

. P = 2 / 5

. THUS
. 1 / 2 * 1 / 5
. 1 / 10

. 1 / 2 * 2 / 5
. 1 / 5

. SO

. 1 / 5 + 1 / 10
. 3 / 10

. 1 / 5 * 1 / 10
1 / 50

. THEN

. P X

. k ( X ² - sum x + product )

. k ( X ² - 3 / 10 X + 1 / 50 )

. k ( 50 X ² - 15 X + 1 / 50 )

. 50 X ² - 15 X + 1



. Hope it helps

Answer 2

Here is your answer user.