List of top Mathematics Questions on Algebra asked in BSE Manipur Class 10

The number of days within which the stock exchange is supposed to resolve dispute at their end is

Show that\( a^3 + b^3 + c^3 - 3abc = \dfrac{1}{2}(a+b+c)\left\{(a-b)^2 + (b-c)^2 + (c-a)^2\right\}\)

If \(x, y, z\) are real numbers, \(x \neq 0\), and \(xy = xz\), prove that \(y = z\).
Prove that \(x^n - y^n\) is divisible by \(x+y\) only when \(n\) is even.
The ratio of incomes of two persons is \(9:7\) and the ratio of their expenditures is \(4:3\). If each of them saves Rs. \(5000\) per month, find their monthly incomes.
Write down the quadratic equation whose roots are 2 and -3.
What is the first term of the quotient when \(2x^3 + x^2 - 3x + 5\) is divided by \(1 - 3x + x^2\)?
If $p(x)$ is a polynomial of degree $\geq 1$ and $a$ is any real number, then the remainder when $p(x)$ is divided by $x-a$ is
The remainder when \(4x^3 + 4x^2 + x - 4\) is divided by \(2x - 1\) is
Solve the quadratic equation \(ax^2 + bx + c = 0\), \((a \neq 0)\) by the method of completing square.
If $x + 1$ is a factor of $p(x) = 4x^2 + 3x + k$, then the value of $k$ is
If one root of the equation $2x^2 - 3x + k = 0$ be reciprocal of the other, then the value of $k$ is
The sum of the first n terms of the AP whose first term is 1 and common difference is 2 is :