May 19th, 2015
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Generally, an equation is said to be of quadratic form if it has the form ax2n + bxn + c = 0, where n is an integer or a fraction; such as x4 – 5x2 + 6 = 0 and y-3 + y-3/2 + 6 = 0

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Laws of Exponents:1.2.3.4. 5.Laws of Radicals:1.2.3.4.Laws of Logarithms:1.2.3.Important Properties:1: provided 2: 3:4:or5: implies that m = n6: implies that 7: implies that M = N 8: 9: provided 10: provided QUADRATIC EQUATIONGenerally, an equation is said to be of quadratic form if it has the form ax2n + bxn + c = 0, where n is an integer or a fraction; such as x4 5x2 + 6 = 0 and y-3 + y-3/2 + 6 = 0 Quadratic Formula: The expression b2 4ac is called the discriminant1. When b2 4ac > 0, the roots are real and unequal.2. When b2 4ac = 0, the roots are real and equal (or quadratic equation is a perfect trinomial)3. When b2 4ac < 0, the roots are imaginary and unequal (complex conjugates)The roots: Sum of the roots,x1 + x2 = - b/aProduct of the roots, x1 x2 = c/aTHE BINOMIAL THEOREMBINOMIALEXPANSIONPASCALS TRIANGLE(x + y)0 = 1 (x -y)111 2 1(x + y)1 =x + y1 1(x + y)3 =x2 + 2xy + y2(x + y)2 =x3 + 3x2y + 3xy2 + y31 3 3 1(x + y)4 =x4 + 4x3y + 6x2y2 +4xy3 + y41 4 6 4 1(x + y)5 =x5 + 5x4y + 10x3y2 +10x2y3 + 5xy4 + y51 5 10 10 5 1(x + y)6 =x6 + 6x5y + 15x4y2 +20x3y3 + 15x2y4 + 6xy5 + y61 6 15 20 15 1This array of numbers is called the Pascals Triangle. Any lower row is formed by adding any two adjacent numbers of the upp

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