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Find the remainder when `f (x) = 12x^3 -13x^2 -5x +7` is divided by `(3x+2)`. |
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Answer» `f(x) = 12x^3 -13x^2 - 5x + 7` `3x+ 2 = 0` `x = -2/3` now as `f(x) = p(g(x)) + R` `f(-2/3) = p(g(-2/3)) + R` `f(-2/3) = R` `R= 12(-2/3)^3 - 13(-2/3)^2 - 5(-2/3) + 7` `= 12*(-8/27) - 13*4/9 + 10/3 + 7` `= -32/9-52/9 + 10/3 + 7` `= (-32-52+30+63)/9` `= (-84+93)/9` `= 9/9 = 1` remainder answer |
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