2012 · Q20
What is one of the square roots of 16x^6 - 24x^5 + 25x^4 - 20x^3 + 10x^2 - 4x + 1?
Elementary MathematicsAlgebra
- A4x^3 - 3x^2 + 2x + 1
- B4x^3 - 3x^2 - 2x - 1
- C4x^3 - 3x^2 + 2x - 1
- D4x^3 - 3x^2 - 2x + 1
Explanation
Writing it as (4x^3 + ax^2 + bx + c)^2 and matching coefficients gives a = -3, b = 2, c = -1.