Question

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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 by photo
Step by step explanation​

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