Question

if 2 and 0 are the zeros of polynomial f x is equal to 2 x cube minus 5 x square + a x + B then find the values of a and b​

Answer 1

Answer:

let gx be 2

2×8-5×4+a×2+b

16-20+2a+b

2a+b-4...... (i)

now,

2×0-5×0+a×0+b

0-0+0+b

b...... (ii)

now, solving eq. i and ii

2a+b-4=b

2a-4=0

2a=4

a=2

now putting a=2 in eq. i

2a+b-4

2×2+b-4

4+b-4

0+b

b=0

hence,a=2 and b=0