Question

(20) If x = 2 and x = 0 are zero of polynomial P(x) = 2x
- 5x^2+ ax + b, then find the value of a and b.​

Answer 1

Answer:

HI !

f(x) = 2x³ - 5x² + ax + b

f(2) = 0

f(2) = 2 ×2³ - 5 × 2² + 2a + b  

       = 16 - 20  + 2a + b = 0

       2a + b = 4          ====> (1)

f(0) = 0

f(0) = 2 × 0³ - 5 × 0² + 0a + b

      b = 0 -----> (2)

putting this value of b in equation 1 ,

2a + 0 = 4

2a = 4 

a = 4/2

a = 2

========================

hence ,

a = 2 , b = 0

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