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

Answered by Innis S. Maths tutor

1092 Views

See similar Maths Scottish Highers tutors

Related Maths Scottish Highers answers

All answers ▸

Work out the angle between the two tangents of the curve y = sin(x) at y = 0 and y = 1


The line, L, makes an angle of 30 degrees with the positive direction of the x-axis. Find the equation of the line perpendicular to L, passing through (0,-4).


Find the x-coordinates of the stationary points on the graph with equation f(x)= x^3 + 3x^2 - 24x


Given g(x) = 4* sin (3*x), find the value of g'(pi/3).


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences