Factorise 8x^2 + 6x +1
8x2 + 6x + 1. This is a quadratic equation as the highest power of x is to the power of 2.A quadratic is written in the form: ax2 + bx + c. The coefficient of the x2 term is greater than one. So you need to find two numbers which add to get b and multiply to get ac. In the example shown above we need to find two numbers which add to get 6 and multiply to get 8. Can you think of two numbers? The numbers 4 and 2, add to 6 and multiply to get 8. Now write the equation like this: 8x2 + 4x + 2x + 1. It is still the same equation but it is now in a form where it can be easily factorised. Now split the equation into two halves and factorise these halves. 4x(2x + 1) + 1(2x + 1) What do you notice about this equation? (2x + 1) is a common factor. We can treat (2x + 1) in exactly the same way as we would treat x or any other algebraic variable. We can add 'like' terms. Like so: (4x + 1)(2x + 1). We have now factorised the quadratic.
Related Maths GCSE answers
All answers ▸From factorising a^2-b^2 hence or otherwise simplify fully (x^2 + 4)^2 - (x^2-2)^2
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A bag with 750 balls is comprised of 300 red, 200 blue and 250 green. What is the probability of three green balls being in succession, providing the ball is put back between each turn.