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We use the factor theorem which states that (2x+1) is a factor of p(x) if and only if the root of (2x+1)=0 is also a root of p(x). The root of 2x+1=0 is x = -1/2 (-1 from both sides and then divide both s...

Notice that 36 is a square number equivalent to 6² . Can also tell this as the expression contains no coefficients of h so they must cancel each other out. Using this information we can deduce ...

Steps: (1) Multiply out the brackets on the left handside [11a + 5c = 6d + 2dc]. (2) Put all terms containing c on one side and all other terms on the other side of the equation [ 5c - 2dc = 6d - 11a]. (3...

Firstly it will help to draw a diagram of our two points along the x-axis, from this we can find out the x co-ordinate of the center of the circle as these points form a chord of the circle. Where in this...

Need to make the bottom of the fraction an integer so we can simplify it. The easiest way to do that is the difference of 2 squares so multiply the whole fraction by (5 - 27^0.5). This gives...