The Enigmatic A and B
Algebra
Level
2
f(x) is a polynomial which is equal to the following-
x^3-10x^2+Ax+B.
Find A*B if we know that f(x) has two of its factors as (x-2) and (x-3).
The answer is -930.
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1 solution
f(2) = 0, 2A+B=32 f(3) = 0, 3A+B=63 Solve for A and B and get A=31 and B=-30, Hence A*B=-930