WorksheetsPolynomials and Quadratic Equations Quiz
Total questions: 53
Worksheet time: 27mins
What is the degree of the polynomial 5x^3 - 4x^2 + 7?
1
2
3
0
Which of the following is a monomial?
4x^2 + 3x
5
3x^2 - 2x + 1
x^3 + y^3
If p(x) = x^2 - 4, what are the roots of the polynomial?
±2
±4
0
None
What is the value of p(x) = x^3 + 2x when x = -1?
1
-1
-3
3
What type of polynomial is x^3 + 3x^2 + 3x + 1?
Monomial
Binomial
Trinomial
Polynomial
Which is the zero of the polynomial x^2 - x - 6?
3
-3
Both A and B
None of these
What is the coefficient of x^2 in 3x^2 - 5x + 7?
-5
7
3
None
Which of the following is a polynomial?
1/x
x + 3
x^2 + 3x - 7
None of these
What is the sum of roots of x^2 - 5x + 6 = 0?
5
-5
6
None
If p(x) = x^2 + kx + 1 has roots -1 and -2, what is k?
2
-3
-2
3
What is the value of p(2) for p(x) = 2x^2 - x + 3?
11
12
10
9
Which of these polynomials has no real roots?
x^2 + 4
x^2 - 4
x^2 - x - 6
None
The remainder when x^3 - x^2 + 2 is divided by x - 1 is:
0
2
1
None
If one of the roots of 2x^2 + 3x + k = 0 is -2, what is k?
1
4
-4
None
Which of the following is a quadratic polynomial?
x^3 + 3x + 2
x^2 - 4
x + 1
x^4 + x^3
If x = 2 is a root of p(x) = x^2 - 5x + k, find k.
2
1
-2
-1
What is the product of roots of x^2 + 7x + 10?
10
-10
-7
7
The graph of a polynomial of degree 3 has at most how many turning points?
1
2
3
0
Which of the following can be the degree of a constant polynomial?
0
1
2
All of the above
If the polynomial p(x) = x^3 + px^2 + qx + r is divided by x + 1, the remainder is:
p + q + r
p - q + r
-p + q - r
None of these
Which of the following is a standard form of a quadratic equation?
ax^2 + bx + c = 0
ax^3 + bx^2 + c = 0
ax + b = 0
None of the above
The quadratic equation x^2 - 5x + 6 = 0 has roots:
2, 3
-2, -3
5, -6
None
If one root of 2x^2 + 7x + k = 0 is -1, find k.
-9
2
9
-2
The sum of roots of x^2 - 8x + 15 = 0 is:
8
-8
15
-15
What is the product of roots of 3x^2 - 5x + 2 = 0?
-2/3
2/3
5
-5
The discriminant of the equation x^2 + 4x + 4 = 0 is:
0
4
-4
None
If the discriminant of a quadratic equation is negative, then:
Roots are real and distinct
Roots are real and equal
Roots are imaginary
Roots are zero
What is the nature of roots of 2x^2 + 3x + 1 = 0?
Real and distinct
Real and equal
Imaginary
None of the above
The quadratic equation x^2 - 16 = 0 can be factored as:
(x - 4)(x + 4)
(x - 8)(x + 8)
(x - 16)(x + 16)
None of the above
The vertex of y = x^2 + 4x + 3 is:
(-2, -1)
(-1, -2)
(2, 1)
None
Which formula is used to find the roots of a quadratic equation?
(-b ± √(b^2 - 4ac)) / 2a
(b ± √(b^2 + 4ac)) / 2a
(-b ± √(b^2 + 4ac)) / a
None
The quadratic equation x^2 + x + 1 = 0 has:
2 real roots
1 real root
Imaginary roots
None of these
What is the value of the discriminant for x^2 - 6x + 9 = 0?
0
9
-6
3
If x^2 - px + q = 0 has roots 2 and 3, find p:
5
-5
6
-6
The roots of 4x^2 - 12x + 9 = 0 are:
Real and distinct
Real and equal
Imaginary
None of these
The quadratic equation x^2 + 1 = 0 has roots:
i, -i
1, -1
0
None
If the roots of ax^2 + bx + c = 0 are equal, then the discriminant is:
0
Positive
Negative
None
The quadratic equation x^2 + px + q = 0 has equal roots if:
p^2 = 4q
p^2 > 4q
p^2 < 4q
None
Which of the following is not a subset of {1, 2}?
{1}
{2}
{1, 3}
{}
The power set of {a, b} contains how many elements?
2
3
4
1
If A = {1, 2, 3} and B = {3, 4, 5}, then A ∪ B is:
{1, 2, 3, 4, 5}
{3}
{4, 5}
{1, 2}
The difference A - B is defined as:
Elements in B but not in A
Elements in A but not in B
Intersection of A and B
Union of A and B
If A = {1, 2, 3}, then the total number of subsets of A is:
6
8
3
4
Which of these is a proper subset of {1, 2, 3}?
{1, 2, 3}
{1, 2}
{}
Both B and C
If A = {1, 2, 3}, then A ∩ {} is:
A
{}
1
None
The complement of the universal set U is:
U
{}
Undefined
None
Which of the following statements is true?
Every set is a subset of itself
The empty set is a subset of every set
Both A and B
None
If A ⊆ B, then:
A ∩ B = A
A ∪ B = B
Both A and B
None
The Cartesian product A × B is empty if:
A is empty
B is empty
Both A and B are empty
All of the above
The set of even integers is an example of:
Finite set
Infinite set
Null set
None
If A = {1, 2, 3, 4} and B = {3, 4, 5}, then A - B is:
{1, 2}
{3, 4}
{5}
{1, 2, 5}
The intersection of any set with itself is:
The universal set
The empty set
The set itself
None
If A = {x: x is a prime number less than 10}, then A is:
{2, 3, 5, 7}
{1, 2, 3}
{1, 2, 3, 5, 7}
{2, 3, 5}
