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

Complex roots of real quadratic equation always occur in:

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conjugate pair

ordered pair

reciprocal pair

none of these

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quadratic equation

reciprocal equation

exponential equation

none of these

No. of ways of solving a quadratic equation:

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1

3

2

4

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none of these

Sum of all four fourth roots of unity is:

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1

0

-1

3

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4

16

8

64

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

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

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real and equal

complex

rational

irrational

Which one is exponential equation:

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ax² + bx + c = 0

ax + b = 0

2^x = 16

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

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rational

irrational

equal

complex

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i

If the roots of x² - bx + c = 0 are two consecutive integers, then: b² - 4ac =

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0

1

-1

2

Four fourth roots of 625 are:

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±5,±5i

±5,±25i

±25,±25i

none of these

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1

0

2

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 the sum of the roots of ax² - (a + 1) x + (2a + 1) = 0 is 2, then the product of the roots 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

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

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6

3

9

none of these

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

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7

-7

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