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$ax^{2}+bx+c=0$ has only one root if

NETNUST Entry TestMathematicsQuadratic Equations

If 1, $\omega\:and \: \omega^{2}$ are three cube roots of unity, then $(1-\omega)(1-\omega^{2})(1-\omega^{4})(1-\omega^{5})=

NETNUST Entry TestMathematicsQuadratic Equations

If $\omega$ , 1 and $\omega^{2}$ are three cube roots of unity then $(1+\omega^{2})^{4}$=

NETNUST Entry TestMathematicsQuadratic Equations

If $\omega$ is the complex root of unity, then $(1+\omega-\omega^{2})^{3}-(1-\omega+\omega^{2})^{3}$=

NETNUST Entry TestMathematicsQuadratic Equations

If $\omega$ is the complex root of unity the $\omega^{-3}$=

NETNUST Entry TestMathematicsQuadratic Equations

$(1+\sqrt{-3})^{5}+(-1-\sqrt{-3})^{5}$

NETNUST Entry TestMathematicsQuadratic Equations

The product of all the fourth roots of unity is

NETNUST Entry TestMathematicsQuadratic Equations

$(x+y)(x+\omega y)(x+\omega^{2}y)$=

NETNUST Entry TestMathematicsQuadratic Equations

If $\frac{-1+\sqrt{3}\iota}{2}$ and 1 are two cube roots of unity, then third is

NETNUST Entry TestMathematicsQuadratic Equations

If $\omega=\frac{-1+\sqrt{3}\iota}{2}$ then $\omega^{3}$=

NETNUST Entry TestMathematicsQuadratic Equations

Product of the complex cube roots of unity is equal to

NETNUST Entry TestMathematicsQuadratic Equations

If $\omega$ is the complex cube root of unity, then $\omega^{-12}$=

NETNUST Entry TestMathematicsQuadratic Equations

Each complex cube root of unity is square of

NETNUST Entry TestMathematicsQuadratic Equations

If $\omega$ is the complex cube root of unity, then $\omega^{3}$=

NETNUST Entry TestMathematicsQuadratic Equations

When the polynomial $Px^{2}+2x^{3}+qx+c$ is divided by x+1 and x-2 the remainder remains P+q=

NETNUST Entry TestMathematicsQuadratic Equations

Which of the following is not the factor of $x^{4}-13x^{2}+36$

NETNUST Entry TestMathematicsQuadratic Equations

If $f(x)=3x^{2}+Px-2$ and f(-2)=2 then P=

NETNUST Entry TestMathematicsQuadratic Equations

What value of x is the solution of the polynomial $x^{3}-28x-48=0$

NETNUST Entry TestMathematicsQuadratic Equations

If (x+1) and (x-2) are factors of $x^{3}-Px^{2}+qx+2$, then P+q=

NETNUST Entry TestMathematicsQuadratic Equations

Which of the following is the factor of $x^{4}+x^{3}-21x^{2}+20$

NETNUST Entry TestMathematicsQuadratic Equations

A polynomial P(x) has a factor (x-a) if P(a)=

NETNUST Entry TestMathematicsQuadratic Equations

If a polynomial P(x) is divided by x-c, then the remainder is

NETNUST Entry TestMathematicsQuadratic Equations

The synthetic division method is only used to divide a polynomial by

NETNUST Entry TestMathematicsQuadratic Equations

If two roots of $8x${4}-14x^{3}-9x^{2}+11x-2=0$ are -1 and 2 then other roots are

NETNUST Entry TestMathematicsQuadratic Equations

If one root is twice the other root in the equation $3x^{2}+Px+54=0$ , then value of P is

NETNUST Entry TestMathematicsQuadratic Equations