Question 115
When f(x) = $$12x^{3} - 13x^{2} - 5x + 7$$ is divided by (3x + 2), then the remainder is
Solution
in order to find out remainder when f(x) = $$12x^{3} - 13x^{2} - 5x + 7$$ is divided by (3x + 2)
we will use remainder theorem , according to which f(-$$\frac{2}{3}$$) will give the remainder
So, f(-$$\frac{2}{3}$$) = $$12(-2/3)^{3} - 13(-2/3)^{2} - 5(-2/3) + 7$$ = 1
remainder = 1
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