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MCQs

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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
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