Polynomials Test-02

If ‘α’ and ‘β’ are the zeroes of a quadratic polynomial\({x^2} + {\text{ }}5x{\text{ }}--{\text{ }}5\) , then

If ‘\(\alpha \) ’ and ‘\(\beta \) ’ are the zeroes of a quadratic polynomial \({x^2}--{\text{ }}5x{\text{ }} + {\text{ }}b\) and\(\alpha {\text{ }}--{\text{ }}\beta {\text{ }} = {\text{ }}1\) , then the value of ‘b’ is

If one zero of the quadratic polynomial ${x^2} + {\text{ }}3x{\text{ }} + {\text{ }}k$ is 2, then the value of ‘k’ is

If two of the zeroes of a cubic polynomial \(a{x^3} + b{x^2} + cx + d\) are zero, then the third zero is

A quadratic polynomial whose zeroes are – 3 and 6, is

The zeroes of a polynomial \({x^2} + 5x + 6\) are

The zeroes of a polynomial \({x^2} + 5x - 24\) are

The zeroes of a polynomial \({x^2} - 7x + 12\) are

The zeroes of a polynomial \({x^2} + 4x + 4\) are

If the zeroes of a quadratic polynomial ax2 + bx + c, c ≠ 0 are equal, then

If a real number ‘\(\alpha \) ’ is a zero of a polynomial, then ______ is a factor of f(x).

If ‘\(\alpha \)’ and ‘\(\beta \)’ are the zeroes of the polynomial \(3{x^2} + 11x - 4\), then the value of \({\alpha ^2} + {\beta ^2}\) is

If ‘\(\alpha \)’ and ‘\(\beta \) are the zeroes of the polynomial \(3{x^2} + 11x - 4\), then the value of \(\frac{1}{\alpha } + \frac{1}{\beta }\) is

If ‘\(\alpha \)’ and ‘\(\beta \)’ are the zeroes of the polynomial \({x^2} - 6x + 8\), then the value of \({\alpha ^3} + {\beta ^3}\) is

If ‘\(\alpha \)’ and ‘\(\beta \)’ are the zeroes of the polynomial \({x^2} - 6x + 8\), then the value of \(\frac{{{\alpha ^2}}}{\beta } + \frac{{{\beta ^2}}}{\alpha }\) is