List of top Mathematics Questions on Basic Algebra

If \(p(x) = 4x^{11} - 8x^9 + 7x^5 + 6x^3 + 4x^2 + 5x + 6\), then the number of zeros is ________.

Match the following:

The roots of the equation \( x^4 - 5x^2 + 4 = 0 \) are

If \[ \frac{3}{x + y} + \frac{12}{2x - y} = \frac{7}{3} \text{ and } \frac{6}{x + y} + \frac{18}{2x - y} = \frac{11}{3}, \text{ then } x^2 + y^2 = \]

For \((k \neq 0)\), if the quadratic equation \(kx(x - 2) + 6 = 0\) has two equal roots, then find the value of \(k\).

If \(\log{\left(\frac{x+y}{3}\right)} = \frac{1}{2} \left(\log{x} + \log{y}\right)\) then the value of \(\frac{x}{y} + \frac{y}{x}\) is?