Polynomials Test

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Polynomials Test - 26

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Weekly Quiz Competition

Question 1
1 / -0

A term of the expression having no literal factors is called a constant term.

A
True

B
False

C
Ambiguous

D
Data insufficient

Solution

Let, A term 3x which is a product of 3 and x. 3 is a numerical co-efficient of 3x and x is called literal factor of 3x.
So A term of the expression having no literal factors is called a constant term.
example: 4
Option A is correct.
Question 2
1 / -0

The polynomials in which the highest power of the variable is two are known as .................. polynomials.

A
Quadratic

B
Linear

C
Cubic

D
Constant

Solution

The polynomials in which the highest power of the variable is two are known as Quadratic polynomials.
e.g. $$ P(x)=ax^2+bx+c$$
Question 3
1 / -0

The value of 7x - 42 is

A
7(x - 6)

B
7(x + 6)

C
-7(x - 6)

D
-7(x + 6)

Solution

$$7x - 42 = 7(x - 6)$$
Question 4
1 / -0

If graph of the polynomial is $$y = x^3-x^2+ x$$, then it passes through the point _____.

A
(0, 0)

B
(0, 7)

C
(1, -2)

D
all of these

Solution

Option A (0, 0) satisfy the polynomial $$y = x^3-x^2+ x$$. So, polynomial always passes through the point (0, 0)
Question 5
1 / -0

The degree of the polynomial $$2x^{4} - 3x^{2} + 9$$ is

A
$$2$$

B
$$3$$

C
$$4$$

D
None of the above

Solution

The highest power of the variable $$x$$ in the given polynomial is $$4$$.
Hence, its degree is $$4$$.
Question 6
1 / -0

The degree of a polynomial $$2x^{5} - 5x^{3} - 10x + 9$$ is

A
$$5$$

B
$$3$$

C
$$1$$

D
$$9$$

Solution

Given polynomial is $$2x^5-5x^3-10x+9$$.

We know that, the degree of a polynomial is the highest power of the variable.

The highest power of the variable $$x$$ in the given polynomial is $$5$$.

Hence, the degree of the given polynomial is $$5$$.
Question 7
1 / -0

The degree of a polynomial $$7x^{4} + 6x^{2} + x$$ is

A
$$7$$

B
$$2$$

C
$$4$$

D
$$1$$

Solution

The highest power of the variable $$x$$ in the given polynomial is $$4$$.
Hence, its degree is $$4$$.
Question 8
1 / -0

The polynomials in which the highest power of the variable in any term is one are known as linear polynomials.

A
True

B
False

C
Ambiguous

D
Data insufficient

Solution

The polynomials in which the highest power of the variable in any term is one are known as linear polynomials.

E.g. $$ 2x+3 $$
Question 9
1 / -0

The linear polynomial is

A
the polynomial where the degree is $$1$$

B
the polynomial where the degree is $$2$$

C
the polynomial where the degree is $$3$$

D
None of the above

Solution

A linear polynomial is $$ax+b$$, a polynomial in which the degree is $$1$$.
Question 10
1 / -0

Identify zero polynomial among the following.

A
$$0$$

B
$$x$$

C
$$x^2$$

D
None of the above

Solution

Consider the polynomial, $$p(x) = ax^2 + bx +c$$ , if $$a=b=c= 0$$ then the expression becomes zero polynomial.

Therefore, the constant polynomial whose coefficients are all equal to $$0$$ is called a zero polynomial.

Hence, zero polynomial can be written as $$p(x) = 0$$.

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Re-Attempt Weekly Quiz Competition

Polynomials Test - 26

Result

Polynomials Test - 26

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Question 1

True

False

Ambiguous

Data insufficient

Solution

Question 2

Quadratic

Linear

Cubic

Constant

Solution

Question 3

7(x - 6)

7(x + 6)

-7(x - 6)

-7(x + 6)

Solution

Question 4

(0, 0)

(0, 7)

(1, -2)

all of these

Solution

Question 5

$$2$$

$$3$$

$$4$$

None of the above

Solution

Question 6

$$5$$

$$3$$

$$1$$

$$9$$

Solution

Question 7

$$7$$

$$2$$

$$4$$

$$1$$

Solution

Question 8

True

False

Ambiguous

Data insufficient

Solution

Question 9

the polynomial where the degree is $$1$$

the polynomial where the degree is $$2$$

the polynomial where the degree is $$3$$

None of the above

Solution

Question 10

$$0$$

$$x$$

$$x^2$$

None of the above

Solution

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