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

Which of the following quadratic polynomials has zeros \( \frac{3}{5} \) and \( -\frac{1}{2} \)?
If \( \alpha \) and \( \beta \) are the zeros of the polynomial \( p(x) = x^2 - 3x - 4 \), then the value of \( \frac{4}{3} (\alpha + \beta) \) is:
If one zero of the polynomial \( p(x) \) is 5, then one factor of \( p(x) \) is:
If \( p(x) = x^4 + 2x^3 - 17x^2 - 4x + 30 \) is divided by \( q(x) = x^2 + 2x - 15 \), then the degree of the quotient is:
Which of the following is not a polynomial
What is the degree of the polynomial \( (3x^2 - 7x + 2)(2x^4 + 3x^3 - 5x + 2) \)?
The zeros of the polynomial \( x^2 - 13 \) are:
If \( (x - 2) \) is a factor of \( px^2 - x - 6 \), then the value of \( p \) is:
If one zero of the polynomial \( (a+2)x^2 - 3ax -2 \) is negative of the other, then find the polynomial.
Find the zeroes of the quadratic polynomial \( x^2 - 3 \) and verify the relationship between the zeroes and the coefficients.
Divide polynomial \( x^4 - 2x^3 - x + 2 \) by the polynomial \( x^2 - 3x + 2 \).
Which of the following is not a polynomial?
If polynomial \(g(x) = 3x^2 - 7x + 2\), then the value of \(g(-1)\) is
If \( p(x) = 3x^{3} + x^{2} + 2x + 5 \) is divided by \( q(x) = x^{2} + 2x + 1 \), then the degree of the quotient will be:
If one zero of a polynomial \(p(x)\) is \(-1\), then a factor of \(p(x)\) will be
If \(\alpha,\beta,\gamma\) are zeroes of the cubic polynomial \(ax^{3}+bx^{2}+cx+d=0\), then the value of \(\alpha\beta\gamma\) is
The degree of the polynomial \((y^{2}-3y+1)\,(y^{5}-4y^{3}+y^{2}+3y)\) is
The zeroes of the polynomial \(x^{2}-16\) are