Home
Class 11
MATHS
If (x^2+p x+1) is a factor of (a x^3+b ...

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

Promotional Banner

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. 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+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

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

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

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

If af(x+1)+bf(1/(x+1))=x ,x!=-1,a!=b ,t h e nf(2) is equal to (a) (2a+b)/(2(a^2-b^2)) (b) a/(a^2-b^2) (c) (a+2b)/(a^2-b^2) (d) none of these

If fig shows the graph of f(x)=a x^2+b x+c ,t h e n Fig a. c b. b c >0 c. a b >0 d. a b c<0