Home
Class 10
MATHS
Find all the zeroes of 2x^4-3x^3-3x^2+6x...

Find all the zeroes of `2x^4-3x^3-3x^2+6x-2`, if you know that two of its zeroes are `sqrt(2)`and `-sqrt(2)`.

Text Solution

AI Generated Solution

To find all the zeroes of the polynomial \(2x^4 - 3x^3 - 3x^2 + 6x - 2\), given that two of its zeroes are \(\sqrt{2}\) and \(-\sqrt{2}\), we can follow these steps: ### Step 1: Identify the Known Roots We know that two of the roots are: - \( \alpha = \sqrt{2} \) - \( \beta = -\sqrt{2} \) ### Step 2: Form the Factor from Known Roots ...
Promotional Banner

Similar Questions

Explore conceptually related problems

13. find all zeroes of 2x^(4)-3x^(3)-3x^(2)+6x-2, if you know that two of its zeroes are sqrt(2) and -(sqrt(2))

Find all the zeros of the polynomial f(x)=2x^(4)-3x^(3)-3x^(2)+6x-2, if two of its zeros are sqrt(2) and -sqrt(2) .

Find the quotient and the remainder when Find all the zeros of (2x^(4)-3x^(3)-5x^(2)+9x-3) , it being given that two of its zeros are sqrt3 and -sqrt3 .

Find the quotient and the remainder when Find all the zeros of (x^(4)+x^(3)-23x^(2)-3x+60) , if it is given that two of its zeros are sqrt3 and -sqrt3 .

Find all the zeroes of the polynomial x^(4)+x^(3)-14x^(2)-2x+24 if two of its zeroes are sqrt(2) and -sqrt(2).

Find all the zeros of the polynomial f(x)=3x^4-4x^3-10x^2+8x+8 , if two of its zeros are sqrt(2) and -sqrt(2) .

(i) Obtain all other zeros of 2x^4 + 7x^3 - 19x^2 - 14x + 30 , if two of its zeros are sqrt(2) and -sqrt(2) . (ii) Obtain all other zeros of 2x^(3) + x^2 - 6x - 3 , if two of its zeros are -sqrt(3) and sqrt(3) .

Find all the zeroes of the polynomial x^(3)+3x^(2)-2x-6, if two of its zeroes are sqrt(2) and -sqrt(2).

Obtian all other zeroes of (x^(4)+4x^(3)-2x^(2)-20x-15) if two of its zeroes are :' sqrt(5) and -sqrt(5) .

Find all the zeroes of the polynomial 2x^(3)+x^(2)-6x-3, if two of its zeroes are -sqrt(3) and sqrt(3).