Factorise 12x^2 +17x +6

If you imaging the equation as ax^2 +bx +cYou multiply the numbers of a and c together. This number then becomes the product of two numbers that either add or subtract to make the number for b.So 12 x 6 is 72. You can then divide 72 in these combinations: 2 and 36, 4 and 18, 6 and 12, 8 and 9.Only one combination can make 17... 8 and 9.You then expand the quadratic equation, replacing 17x with 8x +9x ...(12x^2 +8x +9x +6)Half the equation and factorise just 12x^2 +8x..... so it becomes 4x(3x +2)Do the same with the other half +9x +6 becomes 3(3x +2)You'll notice the brackets are the same. You just combine the numbers outside of the brackets into one bracket and keep the other bracket to form: (4x +3)(3x +2).Sorted.

AB
Answered by Amy B. Maths tutor

9742 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise 15a^2 + ab - 6b^2


2/(y+4) + 3(y-2)


Solve the inequality x^2 + 5x -24 ≥ 0.


How do I draw a graph, y = mx + c, if I am only given m and a point that the line passes through?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning