MYTUTOR SUBJECT ANSWERS

242 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...

6 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

257 SUBJECT SPECIALISTS

£22 /hr

Tadas T.

Degree: MMathPhil Mathematics and Philosophy (Bachelors) - Oxford, St Anne's College University

Subjects offered: Maths, Further Mathematics + 3 more

Maths
Further Mathematics
.MAT.
-Personal Statements-
-Oxbridge Preparation-

“Currently I am a third year Maths and Philosophy student at the University of Oxford. I have been interested in both Maths and Philosophy for quite a long time now and I hope I can pass both the interest and knowledge for the subject(...”

£26 /hr

Tom W.

Degree: Mathematics (Masters) - Warwick University

Subjects offered: Maths

Maths

“Third year Maths undergraduate, with experience teaching Maths from GCSE to first year.”

£20 /hr

Lois M.

Degree: Physics (Masters) - Exeter University

Subjects offered: Maths, Physics

Maths
Physics

“Hi! I'm Lois and I am currently in my second year of studying Physics at the University of Exeter. The past few years of my life have been filled to the brim with maths and physics, so I'm excited to be able to share what I've learned...”

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

Form the differential equation representing the family of curves x = my , where, m is arbitrary constant.

How to gain an inverse function

Why does the second derivative tell us something about a function?

How do you integrate e^x cos x

View A Level Maths tutors

Cookies:

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

mtw:mercury1:status:ok