Roots: - Crosses x-axis at any root e.g. (x+5) would mean crosses at negative 5
-However, if negative x is in the bracket e.g. (5-x) would mean crosses at positive 5
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OCR A Level Maths - Pure Factor Theorem - ANS-A polynomial f(x) has a factor (x - a) if and only if f(a) = 0 It has a factor (bx-a) if f(a/b) = 0 Sketching polynomials - ANS-Shape: Reflect in x-axis if there is a negative x
OCR GCSE Maths Formulae Difference of two squares - ANS-a² - b² = (a + b)(a - b) The Quadratic Formula – ANS - Gradient of a line - ANS-change in y ÷ change in x Equation of a straight line - ANS-y = mx + c Equation of a circle with centre (0,0) - A...
OCR Maths A-level OCR MEI (B) Quadratic Formula - ANS-x = -b ± √(b² - 4ac)/2a Pythagorean Theorem - ANS-a²+b²=c² (a^x)(a^y) - ANS-a^(x + y) a^x / a^y - ANS-a^(x - y) (a^x)^y - ANS-a^xy x = a^n - ANS-n = logA(x) logAx + logAy - ANS-logA(xy) kloga...
OCR a-level maths formula of an arithmetic series - ANS-- Sn = n/2 (2a + (n-1)d) - Sn = n/2 (a + l) where a is the first term and l is the last term what is an arithmetic series - ANS-the sum of the terms of an arithmetic sequence nth term of an arithmetic...