) )
9. If 2 and 0 are the zeros of the polynomial f(x) = 2x® – 5x² + ax + b then
find the values of a and b.
Answer

1 thought on “) )<br />9. If 2 and 0 are the zeros of the polynomial f(x) = 2x® – 5x² + ax + b then<br />find the values of a and b.<br />Answer”

1. Given that,

   2 and 0 are the two zeros of the given Polynomial.

   P(X) = 2X³ – 5X² + AX + B

   P(2) = 2 × (2)³ – 5 × (2)² + A × 2 +

   => 2 × 8 – 5 × 4 + 2A + B

   => 16 – 20 + 2A + B = 0

   => 2A + B -4 = 0

   => 2A + B = 4 ——-(1)

   Also,

   X = 0

   P(0) = 2 × (0)³ – 5 × (0)² + A × 0 + B

   => 2 × 0 + 5 × 0 + 0 + B

   => B = 0

   Putting the Value of B in equation (1)

   2A + B = 4

   2A + 0 = 4

   2A = 4

   A = 4/2

   A = 2

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