Question # 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

The roots of the equation:

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complex

irrational

rational

none of these

Sum of roots of ax² + bx + c = 0 is equal to product of roots only if:

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a+c=0

b+c=0

a+b=0

a+b+c=0

If the Discriminant of a quadratic equation is a perfect square, then roots are:

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real and equal

complex

rational

irrational

Four fourth roots of 625 are:

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±5,±5i

±5,±25i

±25,±25i

none of these

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

Sum of all four fourth roots of unity is:

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1

0

-1

3

If the sum of the roots of the equation kx² - 2x + 2k = 0 is equal to their product, then the value of k is:

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1

2

3

4

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

In ax² + bx + c = 0, if b² - 4ac > 0 and perfect square the roots are:

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rational

irrational

equal

complex

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

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7

-7

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

The roots of the equation 25x² - 30x + 9 = 0 are;

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rational

irrational

equal

complex

If 4^x = 2, then x equals:

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2

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

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4

16

8

64

If a polynomial P(x) = x2 + 4x2 - 2x + 5 is divided by x - 1, then the reminder is:

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8

-2

4

5

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

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6

3

9

none of these

Synthetic division is a process of:

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division

subtraction

addition

multiplication

Solution set of the simultaneous equations : x + y = 1, x - y = 1 is:

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{(0,0)}

{(1,0)}

{(0,1)}

{(1,1)}

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