Home
Class 12
MATHS
If x^2+p x+1 is a factor of the expressi...

If `x^2+p x+1` is a factor of the expression `a x^3+b x+c ,` then `a^2-c^2=a b` b. `a^2+c^2=-a b` c. `a^2-c^2=-a b` d. none of these

A

`a^(2)-c^(2)=ab`

B

`a^(2)+c^(2)=-ab`

C

`a^(2)-c^(2)=-ab`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|10 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|29 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|9 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

Similar Questions

Explore conceptually related problems

If (x^2+p x+1) is a factor of (a x^3+b x+c),t h e n a^2+c^2=-a b b. a^2-c^2=-a b c. a^2-c^2=a b d. none of these

If x ^(2) +bx+b is a factor of x ^(3) +2x ^(2)+2x + c (c ne 0), then b+c is :

If x ^(2)+bx+b is a factor of x ^(3) +2x ^(2) +2x+c (c ne 0), then b-c is :

If a ,\ b ,\ c are in proportion, then (a) a^2=b c (b) b^2=a c (c) c^2=a b (d) None of these

If (x-2) is a common factor of the expressions x^(2)+ax+b and x^(2)+cx+d , then (b-d)/(c-a) is equal to

If the expression x^2+2(a+b+c)+3(b c+c+a b) is a perfect square, then a=b=c b. a=+-b=+-c c. a=b!=c d. non eoft h e s e

If x^2-1 is a factor of a x^4+b x^3+c x^2+dx+e , show that a+c+e=b+d

If x^2-1 is a factor of a x^4+b x^3+c x^2+dx+e , show that a+c+e=b+d

If x^2-1 is a factor of a x^4+b x^3+c x^2+dx+e , show that a+c+e=b+d

The area of a parallelogram formed by the lines a x+-b x+-c=0 is (a) (c^2)/((a b)) (b) (2 c^2)/((a b)) (c) (c^2)/(2a b) (d) none of these