CBSE Class 10 Answered
Find a and b such that x+1 and x+2 are factors of the polynomial x3 + ax2 -bx+10
Asked by | 16 Dec, 2012, 01:23: PM
Expert Answer
Let p(x) = x3 + ax2 -bx+10
x+1 is a factor of p(x), so p(-1) = 0
-1 + a + b + 10 = 0 or a + b + 9 = 0 ... (1)
x+2 is a factor of p(x), so p(-2) = 0
-8 + 4a + 2b + 10 = 0 or 2a + b + 1 = 0 ... (2)
Answered by | 16 Dec, 2012, 02:59: PM
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