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
Answered by Innis S. Maths tutor

1428 Views

See similar Maths Scottish Highers tutors

Related Maths Scottish Highers answers

All answers ▸

Find the gradient of the straight line with equation 4x+3y=12


Given x^3 + 4x^2 + x - 6 = 0 , and one of the factors of this equation is (x-1), factorise and hence compute the other solutions for the eqaution.


show y=3x-5 is tangent to x^2 + y^2 +2x -4y - 5 = 0 and the point where they touch


The equation x^2 + (k-5)x + 1 = 0 has equal roots. Determine the possible values of k.


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:

© 2026 by IXL Learning