Question # 1

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Rational

Irrational

Non-real

Zero

Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if

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c = 0

c = 0,b≠ 0

b = 0,c = 0

b = 0,c≠ 0

If x-2 and x-1 both are factors of x³-3x³+2x-4p, then P must equal to

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1

2

0

-2

The roots of the equations will be equal if b²- 4ac is

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Positive

Negative

1

Zero

The cube roots of 8 are

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If x²- 7x + a has remainder 1 when divided by x + 1, then a = ______

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-7

7

0

None of these

The expression x2 - x + 1 has

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One proper linear factor

No proper linear factor

Two proper linear factors

None of these

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If the roots of ax²- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is

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w^-12= ______

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0

1

w

w²

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Polynomial of degree 0

Polynomial of degree 1

Polynomial of degree 2

Polynomial of degree n

If b²- 4ac is positive then the roots of the equation are

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Real

Imaginary

Positive

Negative

If a,βare the roots of the equation x2 - 8x + p = 0 and a2 + β2= 40,then value of p is

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8

12

10

14

If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then

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k=0

k=1

k=w

k=w2

The maximum value of the quadratic function f(x) = -2x2+20x,is

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4

3

50

7

If ax + bx + c =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

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

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a

x

1

0

The minimum value of the quadratic function f(x) = 5 x 2-11,is

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7

-7

6

-11

Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

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(5, 3, 1)

(4, 3, 2)

(5, 5, 1)

(6, 4, 1)

The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0

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4

64

8

All values of k

The equation (cos p - 1)x²+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval

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(0, 2π)

(-π, -0)

(0,π)

None of these

A quadratic equation has two

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roots

degree

variables

constants

The synthetic division method is only used to divide a polynomial by

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quadratic equation

binomial

linear equation

monomial

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

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2

4

8

16

The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

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4

6

8

10

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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 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

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