Q.14

Asked by kaivankoshti7111.10sdatl | 6th Jul, 2020, 08:56: PM
Expert Answer:
TO find the remainder os the polynomial using remainder theorem.
Given polynomial is P(x)=x3+(kx+8)x+k
When P(x) is divided by x+1 and x-2, the remainders would be P(-1) and P(2)
P(-1) = (-1)3 + [k(-1) + 8](-1) + k = -1 + k - 8 + k = 2k - 9
P(2) = (2)3 + [k(2) + 8](2) + k = 8 + (2k + 8)2 + k = 8 + 4k + 16 + k = 5k + 24
Sum of these two remainders is 1
Therefore, 2k - 9 + 5k + 24 = 1
5k + 2k + 24 - 9 = 1
7k + 15 = 1
7k = -14
k = -2
Answered by Renu Varma | 7th Jul, 2020, 11:18: AM
Concept Videos
- if a:b=5:3,find :5a-3b\5a+3b
- 2x³-x²-13x-6 divide by x+2
- Answer the questions in attachment:
- Answer the questions in attachment:
- Find, in each case, the remainder when, (i) x^4 - 3x^2 + 2x + 1 is divided by x-1 (ii) x^3 + 3x^2 -12x + 4 is divided by x-2 (iii) x^4 + 1 is divided by x+1
- (x-3) is a factor of x to the power 3 + ax to the power 2+ bx - 9 and when it is divided by (x - 2) the remainder is 1
- hoow wto use remainder theorem to factoriseee
- 3x^3+2x^2-19x+6
- sir / mam can you please solve these questions shika opened a recurring deposit account at rs 2000 per month at 11 % p.a. . if she gets rs 83100 at the time of maturity , find the maturity period find the remainder when f(x) = x^3-6x^2x+4 is divided by g(x) = 1-3x. let r1 and r2 are the remainders when the polynomials x^3 + 2x^2-5ax-7 and x^3+ax^2-12x+6 are divided by x + 1 and x-2 respectively. if 2r1 +r2=6 , find the value of 'a'.
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Sign Up
Verify mobile number
Enter the OTP sent to your number
Change