Class 9 Exam > Class 9 Questions > Find the value of k if the polynomial p(x)= k...
Start Learning for Free
Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22?
Most Upvoted Answer
Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided ...
Introduction:
To find out the value of k, we need to divide the polynomial p(x) by (x-3) and obtain the remainder. Then we can equate that remainder to -22 and solve for k.
Synthetic Division:
Synthetic division is a shortcut method to divide a polynomial by a linear factor (x-a). It involves writing the coefficients of the polynomial in a specific pattern and performing a series of operations to obtain the quotient and remainder.
Writing the Polynomial:
Let's write the polynomial p(x) in the standard form with all the coefficients and exponents in place.
p(x) = kx^3 + 9x^2 + 4x - 10
Synthetic Division:
Let's perform synthetic division by (x-3) to obtain the remainder.
3 | k 9 4 -10
| 3 36 120
|______________
k 12 40 110
The remainder is 110, which is not equal to -22. This means that the value of k is such that the remainder is not -22 when p(x) is divided by (x-3).
Conclusion:
Since the remainder is not -22, there is no value of k that satisfies the given condition. Therefore, we cannot find the value of k.
To find out the value of k, we need to divide the polynomial p(x) by (x-3) and obtain the remainder. Then we can equate that remainder to -22 and solve for k.
Synthetic Division:
Synthetic division is a shortcut method to divide a polynomial by a linear factor (x-a). It involves writing the coefficients of the polynomial in a specific pattern and performing a series of operations to obtain the quotient and remainder.
Writing the Polynomial:
Let's write the polynomial p(x) in the standard form with all the coefficients and exponents in place.
p(x) = kx^3 + 9x^2 + 4x - 10
Synthetic Division:
Let's perform synthetic division by (x-3) to obtain the remainder.
3 | k 9 4 -10
| 3 36 120
|______________
k 12 40 110
The remainder is 110, which is not equal to -22. This means that the value of k is such that the remainder is not -22 when p(x) is divided by (x-3).
Conclusion:
Since the remainder is not -22, there is no value of k that satisfies the given condition. Therefore, we cannot find the value of k.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22?
Question Description
Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22?.
Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22?.
Solutions for Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22? defined & explained in the simplest way possible. Besides giving the explanation of
Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22?, a detailed solution for Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22? has been provided alongside types of Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22? theory, EduRev gives you an
ample number of questions to practice Find the value of k if the polynomial p(x)= kx^3 9x2 4x-10 is divided by x-3 leaves ba remainder -22? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Test: The Fundamental Unit of Life- Case Based Type Questions- 1
Test | 10 questions
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup