Question

if the 0 and 2 are the zeroes of the polynomial f(x)=. 2x³ -5x² + ax + b then . find the value of a and b ​

Answer 1

let the third zero be Gama

0+2+Gama=5/2

Gama=5/2-2

=1/2

0×2×1/2=a=0

0×2+2×1/2×1/2×0=-b/a

1=-b/2

b=-2

Answer 2

Answer:

a=-5, b=0

Step-by-step explanation:

Hi ,

f( x ) = 2x³ - 3x²+ax + b

i ) if x = 0 is the root of f ( x ) then

f( 0 ) = 0

2 ( 0 )³ - 3 ( 0 ) ² + a × 0 + b = 0

b = 0 ----( 1 )

ii ) if x = - 1 then

f ( - 1 ) = 0

2 ( - 1 )³ - 3 ( - 1 )² + a ( -1 ) + b = 0

-2 -3 - a + 0 = 0 since b= 0

-5 - a = 0

-a = 5

a = -5

Therefore ,

a = -5 , b = 0

I hope this helps you.

:)