9. If 2 and 0 are the zeros of the polynomial f(x) = 2x^3 - 5x^2 + ax + b then find the values of a and b.
HINT f(2)= 0 and f(0) = 0.
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0
Answer:
a = 2 , b = 0
Step-by-step explanation:
Zeroes = 2 , 0
F(x) = 2x³ - 5x² + ax + b
F(2) = 2(2)³ - 5(2)² + a(2) + b
2(8) - 5(4) + 2a + b = 0
16 - 20 + 2a + b = 0
-4 + 2a + b = 0
2a + b = 4
b = 4 - 2a ......... (i)
Now, F(0) = 2(0)³ - 5(0)² + a(0) + b
0 - 0 + 0 + b = 0
b = 0
Substituting value of b in above equation ↑
(4 - 2a) = 0
4 - 2a = 0
-2a = -4
a = 4/2
a = 2
b = 4 - 2a
b = 4 - 2(2)
b = 4 - 4
b = 0
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Answered by
1
Answer:
The value of a=2
And the value of b=0
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