Home
Class 12
MATHS
The number of polynomials of the form x^...

The number of polynomials of the form `x^(3)+ax^(2)+bx+c` that are divisible by `x^(2)+1`, where `a, b,cin{1,2,3,4,5,6,7,8,9,10}`, is

A

5

B

10

C

20

D

100

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the number of polynomials of the form x^3+a x^2+b x+c that are divisible by x^2+1,w h e r ea , b ,c in {1,2,3,9,10}dot

If the polynomial 7x^(3)+ax+b is divisible by x^(2)-x+1 , find the value of 2a+b.

Solve the inequality 10-3xltx-17,x in{1,2,3,4,5,6,7,8,9,10}

Find the values of a and b so that the polynomial x^3+10 x^2+ax+b is exactly divisible by x-1 as well as x-2.

if the number of quadratic polynomials ax^2+2bx+c which satisfy the following conditions : (i)a,b,c are distinct (ii)a,b,c in {1,2,3,….. , 2001,2002} (iii)x+1 divides ax^2 + 2bx +c is equal to 1000 lambda , then find the value of lambda .

Let A={1,2,3,5,9,7} and B={1,2,3,4,5,6,7,8,9,10} , show that A subset B

The number of seven digit numbers divisible by 9 formed with the digits ,1,2,3,4,5,6,7,8,9 without repetition is (A) 7! (B) ^9P_7 (C) 3(7!) (D) 4(7!)

The number of seven digit numbers divisible by 9 formed with the digits ,1,2,3,4,5,6,7,8,9 without repetition is (A) 7! (B) ^9P_7 (C) 3(7!) (D) 4(7!)

Given the sets A = {1, 3, 5} , B = {2,4, 6} and C = {0, 2,4, 6, 8} , which of the following may be considered as universal set (s) for all the three sets A, B and C (i) {0, 1, 2, 3, 4, 5, 6} (ii) phi (iii) {0,1,2,3,4,5,6,7,8,9,10} (iv) {1,2,3,4,5,6,7,8}

If A={1,2,3,4,5,6,7,8} and B={1,3,4,6,7,8,9} then