MYTUTOR SUBJECT ANSWERS

384 views

The graph with equation y= x^3 - 6x^2 + 11x - 6 intersects the x axis at 1, find the other 2 points at which the graph intersects the x axis

the equation: x- 6x+ 11x -6

Becasuse it intersects at the x axis, y=0 so we set the equation equal to 0. x- 6x+ 11x -6 =0

we know it intersects the x axis at 1 and so (x-1) is a factor of that equation. so it becomes         (x-1)*(Ax+Bx +C) where A,B,C are intergers to be found.

we divide (x-1) from the orginal equation             x- 6x+ 11x -6.

x- 6x+ 11x -6/(x-1) = x2-5x+6

This means we can write the orignal equation    x- 6x+ 11x -6 = (x-1)*(x2-5x+6)

we factorise the quadractic equation x2-5x+6. This will become (x-2)(x-3)

Therefore X=2 and X=3, therfore the other two points of intersection are 2 and 3.

Jestin J. GCSE Maths tutor, A Level Maths tutor, GCSE Further Mathema...

8 months ago

Answered by Jestin, an A Level Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

252 SUBJECT SPECIALISTS

£22 /hr

Sophie H.

Degree: Mathematics (Masters) - Bristol University

Subjects offered:Maths

Maths

“I’ll help anyone finding maths hard. I still struggle now, it's not meant to be easy! Be at my tutorial or (c^2-a^2) <- a maths joke, I apologise.”

PremiumImogen W. GCSE Chemistry tutor, GCSE Maths tutor, A Level Chemistry t...
£30 /hr

Imogen W.

Degree: Chemistry (Masters) - University College London University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“I am very enthusiastic and patient. I want my students to be able to understand their studies so that they can enjoy them as much as I do.”

£20 /hr

Ioannis P.

Degree: Computer Science (Bachelors) - Warwick University

Subjects offered:Maths

Maths

“Maths and Computer Science are both my passion. Having tutored students in the past, they think that my methods seem very intuitive and natural; you will too.”

About the author

Jestin J.

Currently unavailable: for regular students

Degree: Mechanical Engineering (Masters) - Edinburgh University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“I’m an enthusiastic undergraduate studying Mechanical Engineering at the University of Edinburgh, I’m an organised individual who is efficient at keeping track of time and deadlines, as well as this I’m quick thinking and an easily ad...”

MyTutor guarantee

You may also like...

Other A Level Maths questions

How do you know how many roots a quadratic equation has?

x = 2t + 5, y = 3 + 4/t. a) Find dy/dx at (9.5) and b) find y in terms of x.

Two lines have equations r_1=(1,-1,2)+a(-1,3,4) and r_2=(c,-4,0)+b(0,3,2). If the lines intersect find c:

How do you differentiate y=sin(cos(x))?

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok