List of top Mathematics Questions on Algebra asked in Bihar Board X

If \( \alpha \) and \( \beta \) are the zeroes of the polynomial \( x^2 + 5x + 8 \), then the value of \( \alpha^2 + \beta^2 + 2\alpha \beta \) is:
If the product of zeroes of the polynomial \( x^2 - 9x + a \) is 8, then the value of \( a \) is
Which of the following quadratic polynomials has zeroes 4 and -2?
If \( \alpha \) and \( \beta \) are the zeroes of the polynomial \( p(x) = x^2 + 3x - 4 \), then the value of \( \frac{\alpha \beta}{4} \) is
If one zero of the polynomial \( q(x) \) is -3, then one factor of \( q(x) \) is
Which of the following is not a polynomial?
The degree of the polynomial \( (x^5 + x^2 + 3x) (x^6 + x^5 + x^2 + 1) \) is:
The zeroes of the polynomial \( x^2 - 11 \) are:
If -2 and -3 are the zeroes of the quadratic polynomial \( x^2 + (a+1)x + b \), then
If \( \alpha \) and \( \beta \) are the zeros of the polynomial \( x^2 + 5x + 8 \), then the value of \( \alpha^2 + \beta^2 + 2\alpha\beta \) is: