if X = 2 & x equal to 0 are roots of polynomial p (x) =2 x3- 5 x2 + ax + b, find a & b
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Answer:
a=2,b=0
Step-by-step explanation:
f(x) = 2x³ - 5x² + ax + b
f(2) = 0
f(2) = 2 ×2³ - 5 × 2² + 2a + b
= 16 - 20 + 2a + b = 0
2a + b = 4 ====> (1)
f(0) = 0
f(0) = 2 × 0³ - 5 × 0² + 0a + b
b = 0 -----> (2)
putting this value of b in equation 1 ,
2a + 0 = 4
2a = 4
a = 4/2
a = 2
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hence ,
a = 2 , b = 0
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