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Remember completing the square gives a result of the form (x+q)² + p where q and p are numbers
Also q is always half of the x term, which in this case is -4, as such q = -2
Substituti...

2 5/3 = 11/32 8/9 = 24/9 = 8/311/3 + 8/3 = 19/3 = 6 1/3

1. rearrange the formula so that it is equal to zero by subtracting 3 from both sides of the equation.3x²+2x-6=02) To check if this formula can be factorised you can check if the value of b<...

y = 4x²(x+3)⁵ . Use the product rule to find the first derivative of the curve, 8x(x+3)⁵ + 20x²(x+3)⁴ , and substitute x = -1 to find the gradient at...

You should use the product rule when you have a function f(x), which you can't differentiate straight away. But which can be written in the form f(x)=g(x)h(x), where g(x) and h(x) are functions that you d...