If x+1 and x-2 are factors of x^3+3x^2-3ax+b then find and b
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Hi Pinki, Here is your answer
Step-by-step explanation:
(x+1) and (x+2) are factors
.: x = -1 or x = -2. -8+12+6a+b
PUT x = -1
.: -1+3+3a+b
.: 2+3a+ b
.: 3a + b = -2 -----------(1)
PUT x = -2
.: -8+12+6a+b
.: 4+6a+b
.: 6a + b = -4 --------------(2)
SUBTRACT (1) FROM (2)
.: 3a = -2
.: a = -2÷3
PUT a = -2÷3 IN (1)
3a + b = -2
.: 3(-2÷3) + b = -2
.: -2 + b =-2
.: b = 0
.: a = -2÷3 and b = 0 is the value of a and b...
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