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ECAT Pre General Science Mathematics Chapter 6 Quadratic Equations Online Test MCQs With Answers
Question # 1
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Polynomial of degree 0
Polynomial of degree 1
Polynomial of degree 2
Polynomial of degree n
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Question # 2
If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are
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Real and negative
Non-real with negative real parts
Real and positive
Nothing can be said
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Question # 3
w
15
= ______
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0
1
w
w
2
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Question # 4
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Rational
Irrational
Non-real
Zero
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Question # 5
The quadratic formula is
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Question # 6
Root of the equation 3
x-1
+ 3
1-x
= is
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2
1
0
-1
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Question # 7
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0
1
2
3
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Question # 8
The synthetic division method is only used to divide a polynomial by
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quadratic equation
binomial
linear equation
monomial
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Question # 9
A polynomial P(x)has a factor (x-a)if P(a) =
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a
x
1
0
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Question # 10
Roots of the equation x
2
+ 2x + 3 = 0 are
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Real and equal
Real and distinct
Complex
None of these
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Question # 11
For the equation |x
2
| + |x| -6 =0, the roots are
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One and only one real number
Real with sum one
Real with sum zero
Real with product zero
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Question # 12
If the roots of x
2
+ ax + b = 0 are non-real, then for all real x, x
2
+ ax + b is
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Negative
Positive
Zero
Nothing can be said
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Question # 13
The sum of the roots of the equation x2 -6x +2 = 0 is
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-6
2
-2
6
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Question # 14
If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder
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7
-2
6
1
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Question # 15
The roots of the equation ax
2
+ bx + c = 0 are complex/imaginary if
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b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 16
Find a if 1 is a root of the equation x
2
+ ax + 2 = 0
Choose an answer
3
-3
2
0
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Question # 17
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
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a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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Question # 18
If x
3
- x
2
+ 5x
+ 4 is divided by x - 2, then the reminder is
Choose an answer
0
2
18
14
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Question # 19
The minimum value of the quadratic function f(x) = 5 x 2-11,is
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7
-7
6
-11
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Question # 20
Roots of the equation x
2
- 7x + 10 = 0 are
Choose an answer
{2, 5}
{-2, 5}
{2,5}
{-2,-5}
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Question # 21
The roots of px2 - (p-q)x-q=0 are
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equal
Irrational
Rational
Imaginary
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Question # 22
5x
3
+ 3x - is a ______
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Polynomial of degree 3
Polynomial of degree 2
Polynomial of degree 1
Polynomial of degree 0
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Question # 23
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Only one real solution
Exactly three real solution
Exactly one rational solution
Non-real roots
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Question # 24
The solution of the quadratic equation x2 -7x + 10=0, is
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2
5
2,5
7
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Question # 25
The cube roots of 8 are
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Question # 26
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Question # 27
There are ______ basic techniques for solving a quadratic equation
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Two
Three
Four
None of these
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Question # 28
A quadratic equation has two
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roots
degree
variables
constants
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Question # 29
The two parts into which 57 should be divided so that their product is 782 are
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43,14
34,23
33,24
44,13
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Question # 30
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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Question # 31
If x-2 and x-1 both are factors of x
3
-3x
3
+2x-4p, then P must equal to
Choose an answer
1
2
0
-2
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