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1) If x^3+2x^2+ax+b has factors (x+1) and (x-1) , then find a and b. 2) arrangein the correct order. In the beginning the sun shines for a maximum of an hour and a half and then sets, gradually it lengthens to : a) 6 hours 8 hours 16 hours 21 hours 24 hours b) 2 hours 6 hours 8 hours 16 hours 24 hours c) 8 hours 16 hours 24 hours 2 hours 6 hours d) 24 hours 16 hours 8 hours 6 hours 2 hours |
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Answer» Step-by-step explanation: 1. if (x+1) and (x-1) are FACTORS ofx^3+2x^2+ax+b then a = ? b=? x+1=0. =x=-1 p(-1)= (-1)^3+2(-1)^2+a(-1)+b = -1+2-a+b =. -a + b = -1----eq.1 x-1 =0 = x =1 p(1) = 1^3+2(1)^2+a(1)+b =1+2+a+b = a+b = 3----eq.2 add eq.1 and eq.2 -a + b = -1 a + b = 3 ________ 2b=2 _______ b = 2/2 = 1 substitute b value in eq.1 -a +2 = -1 -a = -1-2 -a = -3 a = 3 Therefore, a= 3 and b = 2. Hope it HELPS you..... |
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