Question

heya...plss give full solution☺

Answer 1

Heya friend (^_^)

Here is your answer

ZEROES OF 25p²-15p+2

=25p²-15p+2

=25p²-(5+10)p+2

=25p²-5p-10p+2

=5p(5p-1)-2(5p-1)

=(5p-2)(5p-1)

5p-2=0
5p=2
p=2/5
α=2/5

5p-1=0
5p=1
p=1/5
β=1/5

The polynomial whose zeroes are 1/2α and 1/2β

1/2α=1/(2×2/5)=5/4

1/2β=1/(2×1/5)=5/2

POLYNOMIAL :

=x²-(sum of zeroes)x+(product of zeroes)

=x²-(α+β)+αβ

=x²-(5/4+5/2)x+(5/4)×(5/2)

=x²-(30/8)x+25/8

=8x²-30x+25

HOPE THIS HELPS YOU