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Step 1: Find factors of the constant (The number with no x attached to it), In our case this is 2. The factors of 2 are: 1 & 2 and -1 & -2.

Step 2: The sum of the factors from step 1 must e...

1. The general formula of a quadratic is ax^2 + bx + c -> this is a quadratic 2) Factorise using common factor (=2) -> 2(x^2 + x - 12) = 0 3) Factorise the quadratic to (x + m)(x + n): the two nu...

f(x) = (x+2)(x+2) When f(x) = 0, x = -2. f'(x) = 2x + 4 When f'(x) = 0, x = -2, and corresponds to the minimum point. Therefore, the sketch of the curve will be a U-shaped parabola which touches the x-axi...

With a more wordy question like this, it is always best to break it up and write down all of the key pieces of information. So we want to work out the probability of picking: white AND white, OR, black AN...

The first step is to find a common denominator. Since x^2-9 can be expanded to (x-3)(x+3) and 1/(3-x) can be written as -1/(x-3), we can see that all the terms contain either (x-3), (x+3), or both. Theref...