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To tackle this question we start by thinking about how many brackets will we need to factorise this equation. As there are three parts to the equation it is most likely we are looking for two brackets. K...

5x² + 2x + 1 = 0, x = -0.2 or -1

To answer this question, m and n should be whole numbers instead of fractions, without any square root terms in them. To do this, we first find the numerator, p+q, and the denominator, p-q, individually.N...

The trapezium rule is not an exact method of integration, as it approximates the gradient between 2 ordinates to be constant. This method produces an overestimation for convex functions and underestimate ...

Step 1: Remove the most obvious factor, in this case 3x. y = 3x (x² - 4) Step 2: Realize (x² - 4) is the product of two squares and can undergo completing the square to produce ...