Find the square root of 289x4 – 612x3 + 970x2 – 684x + 361 - Mathematics

Find the square root of 289x⁴ – 612x³ + 970x² – 684x + 361

Sum

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Square Root of Polynomials

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Chapter 3: Algebra - Unit Exercise – 3 [Page 157]

Chapter 3 Algebra
Unit Exercise – 3 | Q 9 | Page 157

Find the square root of the following rational expression

`(400x^4y^12z^16)/(100x^8y^4z^4)`

Find the square root of the following rational expression

`(7x^2 + 2sqrt(14)x + 2)/(x^2 - 1/2 x + 1/16)`

Find the square root of the following

4x² + 20x + 25

Find the square root of the following

`(2x^2 + 17/6 x + 1) (3/2 x^2 + 4x + 2) (4/3 x^2 + 11/3 x + 2)`

Find the values of a and b if the following polynomial is a perfect square

4x⁴ – 12x³ + 37x² + bx + a

Find the values of a and b if the following polynomial is a perfect square

ax⁴ + bx³ + 361x² + 220x + 100

Find the values of m and n if the following polynomial is a perfect square

x⁴ – 8x³ + mx² + nx + 16

Find the values of m and n if the following polynomial is a perfect square

`1/(x^4) - 6/(x^3) + 13/(x^2) + "m"/x + "n"`

If the roots of the equation q²x² + p²x + r² = 0 are the squares of the roots of the equation qx² + px + r = 0, then q, p, r are in __________

If α and β are the roots of the polynomial f(x) = x² – 2x + 3, find the polynomial whose roots are `(alpha - 1)/(alpha + 1), (beta - 1)/(beta + 1)`