Factorise 12x^2 - 20x + 3
We know our answer is going to look like this: (ax + b)(cx + d).
First we can split our original equation in order to make it easy to simplify. As we know that 12 multiplied by 3 is equal to 36 we can split 20x into: - 18x - 2x, as they also multiply to make 36. So from this we have: 12x2 - 18x - 2x + 3.
We can now take 6x out of the first half of the equation: 6x(2x - 3) - 2x + 3. We can then make the second half look like the same form as the first half: 6x(2x - 3) - 1(2x - 3) we then have our answer: (2x - 3)(6x - 1).
EG
Related Maths GCSE answers
All answers ▸Find x when: (2^x)(e^(3x+1))=10. Give your answer in the form (a + ln(b)) / (c + ln(d)) , where a,b,c,d are integers.
Sketch the curve y=4-(x+3)^2, showing the points where the curve crosses the x-axis and any minimum or maximum points.
How do you factorise a quadratic equation?
Ben wants to book tickets to see a concert. The price of the ticket is £65. He must also pay a booking fee, which is 15% of the ticket price. Ben has £75, does he have enough money to pay for the ticket and booking fee?