Factorise x^2+2x-8

Firstly, note the general equation for a quadratic: ax^2+bx+c. We can see that in the above equation, a=1, b=2 and c=-8. When factorising we have to consider the product ac and b. ac=1(-8)=-8 and b=2. Now think, what two numbers multiply to give -8 and add to give 2? That would be 4 and -2. So now the equation becomes (x-2)(x+4) which is the answer.

KT

Related Maths GCSE answers

All answers ▸

A stationary ball starts rolling down a hill, and after 5s it reaches a speed of 12m/s. From here the ground levels off, and the ball continues at this speed for 3 more seconds. Plot this on a velocity-time diagram.


A straight line goes through (0,1), (2,5) and (4,9). The equation of the straight line is y=2x+1. Is the point (7,12) on this straight line?


Solve the equation x^2 + 3x - 10 = 0


express the number 84 as a product of its prime factors