If the zeros of the polynomial f(x)=a x^...

If the zeros of the polynomial `f(x)=a x^3+3b x^2+3c x+d` are in A.P., prove that `2b^3-3a b c+a^2d=0` .

Answer

Step by step text solution for If the zeros of the polynomial f(x)=a x^3+3b x^2+3c x+d are in A.P., prove that 2b^3-3a b c+a^2d=0 . by MATHS experts to help you in doubts & scoring excellent marks in Class 10 exams.

Topper's Solved these Questions

SAMPLE PAPER 11
EDUCART PUBLICATION|Exercise PART -B (SECTION-IV)|9 Videos
SAMPLE PAPER 10 SOLVED
EDUCART PUBLICATION|Exercise PART - B (SECTION - V) |4 Videos
SAMPLE PAPER 11 (SELF - ASSESSMENT)
EDUCART PUBLICATION|Exercise SECTION -C|10 Videos

EDUCART PUBLICATION-SAMPLE PAPER 11-PART -B (SECTION-V)

If the zeros of the polynomial f(x)=a x^3+3b x^2+3c x+d are in A.P., p...
06:39
|
From the top of a tower h m high, angles of depression of two objects,...
03:04
|
Two tangents T P and T Q are drawn to a circle with centre O fro...
06:43
|
Prove that the area of the semicircle drawn on the hypotenuse of a rig...
04:09
|

Home

Profile