a) Factorise: 2x^2-72, and hence b) find the y-intercept of the line with the equation: y=(2x^2-72)/(4x-24)
a) Take out the common factor, giving: 2(x2-36), idenitfy the difference of two squares and factoise accordingly, giving: 2(x-6)(x+6)
b) you have the facotirse version of the top of the fraction from part a), factorise the bottom, giving: 4(x-6), then cancel and simplify, giving: y=1/2x+3
Then let x=0 to find the y-intercept to be when y=3
IS
Related Maths Scottish Highers answers
All answers ▸Solve algebraically the system of equations: 4x+5y=-3 and 6x-2y=5
Solve algebraically the following system of equations: 4x + 5y = -3; 6x - 2y = 5
Why is the gradient of a curve at a point the same as the gradient of the tangent if you can't use gradient formula on a curve?
Show that (𝑥 − 1) is a factor of 𝑓(𝑥)=2𝑥^3 + 𝑥^2 − 8𝑥+ 5. Hence fully factorise 𝑓(𝑥) fully.