Question

if 2 and 0 are the zeros of polynomial f x equals to 2 x cube minus 5 x square + a x + B then find the value of a and b

Answer 1

a = 2+0

a = 2

B = 2*0

B = 0

Answer 2

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 + B

=> 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.

HOPE IT WILL HELP YOU....... ;-)