Question # 1

Which of the following is factor of x11+a11, where n is an odd integer

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x-a

x+a

2x-a

2x+a

The solution set of x²- 5x + 6 = 0 is

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{1, 3}

{2, 3}

{1, 2}

None of these

If the equation x2+2x-3=0 and x2+3x-k=0 have a common root then the non - zero value of k is

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1

3

2

4

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

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p(x)

x-c

c

P(c)

If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

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ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______

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-5

5

0

1

If the roots of ax²+ b = 0 are real and distinct then

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ab > 0

a = 0

ab < 0

a > 0, b > 0

(1+w)(1+w2)(1+w4)(1+w8)....50 factors

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0

-1

1

2

If the roots of x²+ ax + b = 0 are non-real, then for all real x, x²+ ax + b is

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Negative

Positive

Zero

Nothing can be said

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(a - c)²= b²- c²

(a - c)²= b²+ c²

(a + c)²= b²- c²

(a + c)²= b²+ c²

w¹⁵= ______

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0

1

w

w²

If ax²+ bx + x = 0 is satisfied by every value of x, then

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b = 0, c = 0

c = 0

b = 0

a = b = c = 0

The roots of the equation x2 +6x-7=0,are

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1

2

1 and -7

-7

Sum of all the four forth roots of unity is

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1

-1

i

0

If the roots of ax2 + b =0 are real and distinct then

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ab > 0

a = 0

ab < 0

a > 0,b > 0

Roots of the equation 2x²- 7x + 3 = 0 are

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Rational

Irrational

Complex

None of these

If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

If x - 1 is a factor of x4 - 5x2 + 4 then other factor is

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(x + 2)2(x - 1)

(x + 2)(x - 1)2

(x+2)(x2- x- 2)

(x + 2)2(x - 1)2

If x² + px + 1 is a factor of ax³+ bx +c, then

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a²+ c²= -ab

a²- c²= -ab

a²- c²= ab

None of these

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The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is

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2

1

-1

-2

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

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a

x

1

0

If x³- x²+ 5x+ 4 is divided by x - 2, then the reminder is

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0

2

18

14

The roots of the equation will be irrational if b²- 4ac is

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Positive and perfect square

Positive but not a perfect square

Negative

Zero

The product of the four fourth roots of unity is

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0

1

-1

None of these

The maximum value of the quadratic function f(x) = 2x2-4x+7,is

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3

5

-3

-5

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Polynomial of degree 0

Polynomial of degree 1

Polynomial of degree 2

Polynomial of degree n

The roots of the equation 2^2x- 10.2^x+ 16 = 0 are

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2, 8

1, 3

1, 8

2, 3

If the roots of 3x2+kx + 12 = 0 are equal then k = ______

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Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when

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q = 0, r = 0,p ≠ 0

p = 0,qr≠ 0

r = 0,pq≠ 0

q = 0, pq≠ 0

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