Question

23. Find a quadratic polynomial whose zeroes are 5 - 3/2 and 5 + 32.​

Answer 1

Answer:

If 5±3

2

are roots of polynomial then

x−(5+3

2

) and x−(5−3

2

) are factors of the polynomial

∴[x−(5+3

2

)][x−(5−3

2

)]

=x

2

−x(5−3

2

+5+3

2

)+(5+3

2

)(5−3

2

)

=x

2

−10x+(25−9(2))

=x

2

−10x+7