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Let me show you an example:Complete the square for the following equation....4x²+ 8x - 91) Divide the whole equation by 4, as this is the easiest way to make things simple. It allows us to comp...

His total score is 33+75=108The total marks of the exam is 60+100=160His score as a fraction of the total marks is 108/160To find his percentage score, multiply 108/160 by 100 which is 67.5%

By definition, turning points occur when the gradient function equals to zero. To prove this we need to differentiate the function given. To differentiate, bring the power down and multiply it by the co-e...

y = 3x^2 − (2/3) x + 1Derivative of 3x^2 = 6x3 * 2 = 6x^(2-1) = x^1 = xDerivative of -(2/3)x = -2/3-(2/3) * 1 = -2/3x^(1-1) = x^0 = 1dy/dx = 6x - 2/3at x = 0dy/dx = 6(0) - 2/3dy/dx = -2/3

Whenever you see fractions of x or x² etc top or bottom, your first port of call would have to be to convert them into partial fractions. Once you have done this, the questions you would get w...