Important General Laws and Formualae 0.0 / 5 ? MathematicsAnyASAQA Created by: chickpeatweetCreated on: 09-10-14 18:18 Quadratic Formula x = -b +- \/(b^2 -4.a.c) / 2a 1 of 14 Discriminant inequality when quadratic inequality has 2 real roots b^2 -4.a.c > 0 2 of 14 Discriminant inequality of when quadratic inequality has 1 real root b^2 -4.a.c = 0 3 of 14 Discriminant inequality of when quadratic inequality has no real roots b^2 -4.a.c < 0 4 of 14 General rule - multiplying surds \/(a) x \/(b) = \/(ab) 5 of 14 General Rule - dividing surds \/(a) / \/(b) = \/(a/b) 6 of 14 General Rule - Rationalising the Denominator 1 a / \/(b) x \/(b) / \/(b) = a\/(b) / b 7 of 14 General Rule - Rationalising the Denominator 2 a / b - \/(c) x b+\/(c) / b+\/(c) = ab+a\/(c) / b^2 - c 8 of 14 General Rule - Adding/Minusing fractions a/b +/- c/d = ad+/-cb / bd 9 of 14 General Rule - Multiplying fractions a/b x c/d = ac/bd 10 of 14 General Rule - Dividing fractions a/b / c/d = ad/bc 11 of 14 Factor Theorem If F(a) = 0 then (x-a) is a factor 12 of 14 Remainder Theorem 1 If we divide F(x) by (x-a) and we get F(a) = b where b does not equal 0, then b is a remainder 13 of 14 Remainder Theorem 2 If we divide F(x) by (ax-b) then the remainder is F(b/a) 14 of 14
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