Question # 1

If P(x) is a polynomial of degree m and Q(x) is a polynomial of degree n, the product P(x) . Q(x) will be a polynomial of degree:

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m . n

m - n

m + n

m × n

Which one is exponential equation:

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ax² + bx + c = 0

ax + b = 0

2^x = 16

For what value of k, the roots of the equation x² + √k x + 2 = 0 are equal:

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1

8

2

4

If α, ß are complex cube roots of unity, then 1 + αⁿ + ßⁿ = .......... where n is a positive integer divisible by 3:

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1

3

2

4

How many complex cube roots of unity are there:

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2

0

1

3

If α, ß are the roots of x² + kx + 12=0 such that α-ß = 1 then K = :

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0

±5

±7

±15

If one root of 2x² + ax + 6 = 0 is 2 then the value of a is:

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7

-7

If 4^x = 2, then x equals:

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2

1

For what value of k, the sum of the roots of the equation x² + kx + 4 = 0 is equal to the product of its roots:

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±1

4

±4

-4

Solution set of the equation x² - 3x + 2 = 0 is

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{-1, 2}

{1, -2}

{-1, -2}

{1, 2}

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linear equation

Quadraticequation

cubicequation

radicalequation

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none of these

Sum of all three cube roots of unity is:

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1

-1

0

3

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1

0

2

3

The roots of the equation:

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complex

irrational

rational

none of these

Complex roots of real quadratic equation always occur in:

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conjugate pair

ordered pair

reciprocal pair

none of these

If P(x) is a polynomial of degree m and Q(x) is a polynomial of degree n, the quotient P(x) + Q(x) will produce a polynomial of degree:

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m . n, plus a quotient

m - n, plus a remainder

m ÷ n, plus a factor

m + n, plus a remainder

A numbers exceeds its square root by 6, the number is:

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6

3

9

none of these

The ration of the sum and product of roots of 7x² - 12x + 18 = 0 is:

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7:12

2:3

3:2

7:18

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c = 0

b = 0, c = 0

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4

16

8

64

One of the roots of the equation 3x2 + 2x + k = 0 is the reciprocal of the other, then k = ...............:

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3

2

1

4

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