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

9838 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A scalene triangle PQR, where PQ is (3x+4)m long, QR is (2-x)m long and angle PQR is 30 degrees, has an area of 2 square metres. Find x.


A brother and sister share some pocket money together in the ratio of 4:7. The brother receives £18 less than his sister. How much pocket money do the brother and sister get each?


Solve the simultaneous equations x^2 + y^2 = 9 and y = 3x + 3


Bob buys a car for £120 after it is reduced by 20% in the sale. What was the original price of the car?


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