if 2&0are zeroes of polynomial p(x)=2x^3-5x^2+ax+b,find the value of a&b.
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Heya !!!
X = 2 and X = 0
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
=> -4 + 2A + B = 0
=> 2A + B = 4 --------(1)
P(0) = 2 × (0)³ - 5 × (0)² + A × 0 + B = 0
=> 2 × 0 -5 × 0 + 0 + B = 0
=> B = 0
Putting the value of B in equation (1)
2A + B = 4
2A + 0 = 4
2A = 4
A = 4/2 = 2
Hence,
A = 2 and B = 0
★ HOPE IT WILL HELP YOU ★
X = 2 and X = 0
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
=> -4 + 2A + B = 0
=> 2A + B = 4 --------(1)
P(0) = 2 × (0)³ - 5 × (0)² + A × 0 + B = 0
=> 2 × 0 -5 × 0 + 0 + B = 0
=> B = 0
Putting the value of B in equation (1)
2A + B = 4
2A + 0 = 4
2A = 4
A = 4/2 = 2
Hence,
A = 2 and B = 0
★ HOPE IT WILL HELP YOU ★
Answered by
1
Answer:
Value of a=2
And value of b=0
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