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

Divide \(x^3 + 1\) by \(x + 1\).
Which of the following is not a polynomial?
The zeroes of the polynomial \(2x^2 - 4x - 6\) are
The degree of the polynomial \((x^3 + x^2 + 2x + 1)(x^2 + 2x + 1)\) is
If one of the zeros of the polynomial p(x) is 2 then which of the following is a factor of p(x)?
If \(\alpha\) and \(\beta\) be the zeros of the polynomial \(cx^2 + ax + b\) then the value of \(\alpha . \beta\) is
If \(p(x) = x^4 - 2x^3 + 17x^2 - 4x + 30\) is divided by \(q(x) = x + 2\) then the degree of the quotient is
If \( p(x) = x^4 - 5x + 6 \) and \( q(x) = 2 - x^2 \), then the degree of \( \frac{p(x)}{q(x)} \) is:
If \( p(y) = (y+1)(y^3+2)(y^4+6) \) and \( g(y) = y^2 - 3y +1 \), then the degree of \( \frac{p(y)}{g(y)} \) is:
If \( p(y) = (y + 1)(y^3 + 2)(y^4 + 6) \) and \( g(y) = y^2 - 3y + 1 \), then the degree of \( \frac{p(y)}{g(y)} \) 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:
The zeroes of the polynomial \( x^2 - 13 \) are:
For what value of \( m \), \( -4 \) is one of the zeroes of the polynomial \( x^2 - x - (2m + 2) \)?
If 1 is one zero of the polynomial \( p(x) = ax^2 - 3(a - 1)x - 1 \), then the value of \( a \) is:
Which of the following quadratic polynomials has zeroes \( \frac{3}{5} \) and \( -\frac{1}{2} \)?
If \( \alpha \) and \( \beta \) are the zeroes of the polynomial \( p(x) = x^2 - 3x - 4 \), then the value of \( \frac{4}{3}(\alpha + \beta) \) is:
Which of the following is not a polynomial?
The degree of the polynomial \( (3x^2 - 7x + 2)(2x^4 + 3x^3 - 5x + 2) \) is:
If \( (x - 2) \) is a factor of \( px^2 - x - 6 \), then the value of \( p \) is:
If \( (x+3) \) is a factor of \( ax^2 + x + 1 \), then the value of \( a \) is:
Divide polynomial \( 2x^4 + 3x^3 - 2x^2 - 9x - 12 \) by polynomial \( x^2 - 3 \).
Find the zeroes of the quadratic polynomial \( 3x^2 - x - 4 \) and verify the relationship between the zeroes and the coefficients.
For what value of \( m \), \( -4 \) is one of the zeros of the polynomial \( x^2 - x - (2m+2) \)?
If 1 is one zero of the polynomial \( p(x) = ax^2 - 3(a-1)x - 1 \), then the value of \( a \) is: