Polynomials Test

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Polynomials Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

The remainder when x³¹− 31 is divided by x + 1 is

A
30

B
31

C
-32

D
0

Solution

x³¹− 31

Using remainder theorem.

= (−1)³¹ − 31

= − 1 − 31

= − 32
Question 2
1 / -0

8 is a polynomial of degree

A
8

B
1

C
0

D
none of these

Solution

Since 8 is a constant term.

Therefore its degree is 0.
Question 3
1 / -0

Which of the following is a polynomial in one variable?

A
√2 − x²+ 3x

B
x² + x⁻²

C
√2x + 9

D
x⁵ + y⁸ + 9

Solution

√2 − x²+ 3x is a polynomial in one variable x and also the powers of each term is a whole number.
Question 4
1 / -0

Which of the following statement is false?

A
The zero of a zero polynomial is not defined.

B
The degree of a zero polynomial is defined.

C
The degree of a constant polynomial is not defined.

D
The degree of a zero polynomial is zero.

Solution

The degree of a zero polynomial is not defined.
Question 5
1 / -0

A symbol having a fixed value is called a ______.

A
variable

B
constant

C
coefficient

D
none of these

Solution

A symbol having a fixed value is called a constant. Ex. Any natural number, whole number, integers, rational number.

A symbol having the variable values is called variable.
Question 6
1 / -0

A polynomial of degree ____ is called a quadratic polynomial.

A
0

B
3

C
2

D
1

Solution

A polynomial of degree 2 is called a quadratic polynomial.

Its general form is ax²+ bx + c
Question 7
1 / -0

A polynomial of degree ____ is called a cubic polynomial.

A
3

B
0

C
1

D
2

Solution

A polynomial of degree 3 is called a cubic polynomial.

Its general form is ax³ + bx² + cx + d
Question 8
1 / -0

A polynomial of degree ____ is called a linear polynomial.

A
3

B
1

C
2

D
0

Solution

A polynomial of degree 1 is called a linear polynomial.

Its general form is ax + b
Question 9
1 / -0

A polynomial containing one nonzero term is called a ________.

A
monomial

B
trinomial

C
binomial

D
none of these

Solution

A polynomial containing one nonzero term is called a monomial.

Example: 3x, 5x², y³

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Polynomials Test - 6

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Polynomials Test - 6

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Question 1

30

31

-32

0

Solution

Question 2

8

1

0

none of these

Solution

Question 3

√2 − x2 + 3x

x2 + x−2

√2x + 9

x5 + y8 + 9

Solution

Question 4

The zero of a zero polynomial is not defined.

The degree of a zero polynomial is defined.

The degree of a constant polynomial is not defined.

The degree of a zero polynomial is zero.

Solution

Question 5

variable

constant

coefficient

none of these

Solution

Question 6

0

3

2

1

Solution

Question 7

3

0

1

2

Solution

Question 8

3

1

2

0

Solution

Question 9

monomial

trinomial

binomial

none of these

Solution

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√2 − x²+ 3x

x² + x⁻²

x⁵ + y⁸ + 9