UrbanPro

Location Set your Location

Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review All Categories Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕

Take Class 10 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Book a Free Demo

Class 10 > Learn Mathematics > If x2 -- 3x + 2 divides x3 -- 6x2 + ax + b exactly,...
✕

Search in

If x2 – 3x + 2 divides x3 – 6x2 + ax + b exactly, then find the value of ‘a’ and ‘b’

Asked by Last Modified  

2 Answers

Learn Mathematics +1 Class IX-X Tuition

Follow 2
Answer

Please enter your answer

Tutor

Let P(x)=x3-6x2+ax+b be given polynomial Since x2-3x+2=(x-2)(x-1) divides P(x) exactly -1,-2 are zeroes of P(x) So, p(-1)=0, P(-2)=0 We get -5+a+b=0 and -16+2a+b=0 By solving we get a=11,b=-6
Comments
Dislike Bookmark

Mathematics Tutor

If x2 -- 3x + 2 divides x3 -- 6x2 + ax + b exactly, then the roots of x2 -- 3x + 2 will also be the roots of x3 -- 6x2 + ax + b. The roots of x2 -- 3x + 2 are 1 and 2. Therefore, substitute 1 and 2 in x3 -- 6x2 + ax + b=0. Step i: (1)3 - 6(1)2 + a (1) +b=0 1 - 6 +a+b=0 a+b=5 Step...
read more
If x2 – 3x + 2 divides x3 – 6x2 + ax + b exactly, then the roots of x2 – 3x + 2 will also be the roots of x3 – 6x2 + ax + b. The roots of x2 – 3x + 2 are 1 and 2. Therefore, substitute 1 and 2 in x3 – 6x2 + ax + b=0. Step i: (1)3 - 6(1)2 + a (1) +b=0 1 - 6 +a+b=0 a+b=5 Step i: (2)3 - 6(2)2 + a (2) +b=0 8 - 24 + 2a + b=0 2a+b=16 a+ (a+b)=16 a+5=16 {Since, a+b=5 in step i} a=11 b=-6 read less
Comments
Dislike Bookmark

Related Questions

What is the value of Sin360+Cos360?
Sin(360)= sin(0)=0 Cos(360)=cos(0)=1 Formula: Sin((360*x)+y)=sin(y) Cos((360*x)+y)=cos(y) Where x is any integer and y is any real number. Sin(360) +cos (360) =1
Ramana
The mean of 10, 15, x, 5, 15 is 15. What is the value of x?
Mean=sum of all observations÷total no. of observations 15 = (10+15+X+5+15) ÷ 5 75 = 45 + X X = 75 - 45 X = 30 So x is 3
Rayyan
0 0
9
What is Euclid’s second axiom?
Euclid second axiom states that any terminated straight line can be projected indefinitely.
Sagar
0 0
5
Show that x = 2 and y = 1 satisfy the linear equation 2x 3y = 7.
2x + 3y=7 Put 2 in place of x and 1 in place of y. 2*2+ 3*1=4+3=7
Sajjan
In a GK test a student was given 50 questions one by one. He gave the correct answer for 30 questions. Find the probability of giving correct answers.
p = (30/50) = 3/5
Abhishek
0 0
8

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Introduction to current electricity
In our day to day life, we find the use of electricity for all our purposes. What is the concept behind the generation of current, where does it come from, is a matter of wonder to all us! Let us get introduced...

Ramneet Singh

1 0
0
ABC Is An Equilateral Triangle With Side Length 6. If x Is A Point On Side CA, What Is The Minimum Value Of Bxâ² + Xcâ²?
Q. ABC is an equilateral triangle with side length 6. If X is a point on side CA , what is the minimum value of BX² + XC² ? Answer: Let's D is mid point of CA (BD = height =...

Sujoy Das

3 0
0
Numbers 2
Whole number can not be a Natural Number because whole number starts from 0 while Natural number starts from 1 which des not includes zero as it not include zero so it can not be a whole number. Natural...

Kanika

1 0
0
MAXIMA AND MINIMA
QUESTION In a college, where every student follows at least one of the three activities- dance, music, or sports- 65% follow dance, 86% follow music, and 57% follow sports. What can be the maximum...

Sujoy Das

0 0
0
Numbers
there are different types of numbers 1) Whole Number: the numbers which start from 0 eg, 0,1,2,3,..... Upto infinity . They are denoted by W. They are positive number 2) Natural Number: The numbers...

Kanika

1 0
0

Recommended Articles

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Quest Academy - Institute of the month

Quest Academy is a professional Bangalore based NEET and JEE (Main + Advanced) training institute. The academy was incorporated in 2015 to cater to the needs of students, who aim to crack competitive exams by connecting with the best brains around. The institute helps students enhance their skills and capabilities through...

Read full article >

Find Class 10 Tuition near you
Class 10 Tuition in Delhi
Class 10 Tuition in Bangalore
Class 10 Tuition in Hyderabad
Class 10 Tuition in Kolkata
Class 10 Tuition in Mumbai
Class 10 Tuition in Chennai
Class 10 Tuition in Pune
Class 10 Tuition in Noida
Class 10 Tuition in Lucknow
Class 10 Tuition in Jaipur

Looking for Class 10 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 10 Tuition Classes?

The best tutors for Class 10 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 10 Tuition with the Best Tutors

The best Tutors for Class 10 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more

ThinkVidya Learning Pvt Ltd © 2010-2024All Rights Reserved