Polynomials Test

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Polynomials Test - 21

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Weekly Quiz Competition

Question 1
1 / -0

The degree of a polynomial $$x^{3} - 27$$ is

A
$$3$$

B
$$1$$

C
$$26$$

D
$$27$$

Solution

The highest power of the variable $$x$$ in the given polynomial is $$3$$.
Hence, its degree is $$3$$.
Question 2
1 / -0

The degree of the polynomial $$4x^{2} + 3x - 7$$ is:

A
$$1$$

B
$$3$$

C
$$7$$

D
$$2$$

Solution

The highest power of the variable $$x$$ in the given polynomial is $$2$$.
Hence, its degree is $$2$$.
Question 3
1 / -0

Substituting $$x = -3$$ in
$$x^2+5x$$

A
$$x^2+5x$$ = -24

B
$$x^2+5x$$ = -30

C
$$x^2+5x$$ = -10

D
$$x^2+5x$$ = -6

Solution

For $$x=-3$$
$$x^2+5x$$
$$=(-3)^2+5(-3)$$
$$=9-15$$
$$=-6 $$
The correct statement is $$x^2+5x=-6$$
Question 4
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 5
1 / -0

In a polynomial, the exponents of the variables are always

A
integers

B
positive integers

C
non-negative integers

D
non-positive integers

Solution

A polynomial is an algebraic expression that contains variables having whole number power.
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

What is the output of $$x^2+3x+5$$, where $$x = 3?$$

A
$$21$$

B
$$22$$

C
$$23$$

D
None of the above

Solution

Given that:
$$ x^2 + 3x + 5 :$$

Substituting, $$x = 3 \:we\: get ,$$

or $$ (3)^2 + 3\times 3 + 5 = 9+9+5 = 23$$

$$\therefore x^2 + 3x +5$$ is $$23$$
Question 8
1 / -0

Given $${y= 3 ^x}$$, evaluate $$y$$ when $$x=3$$

A
$$3$$

B
$$9$$

C
$$27$$

D
$$81$$

Solution

We have, $$y=3^x$$
At $$x=3$$
$$y =3^3=3\times 3\times 3=27$$
Hence, option C is correct choice.
Question 9
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 10
1 / -0

The value of a polynomial

A
changes with the change in variable

B
doesn"t change with the change in variable

C
many or may not change with the change in variable

D
all of the above

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Polynomials Test - 21

Result

Polynomials Test - 21

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SHARING IS CARING

Question 1

$$3$$

$$1$$

$$26$$

$$27$$

Solution

Question 2

$$1$$

$$3$$

$$7$$

$$2$$

Solution

Question 3

$$x^2+5x$$ = -24

$$x^2+5x$$ = -30

$$x^2+5x$$ = -10

$$x^2+5x$$ = -6

Solution

Question 4

$$2$$

$$3$$

$$4$$

None of the above

Solution

Question 5

integers

positive integers

non-negative integers

non-positive integers

Solution

Question 6

$$5$$

$$3$$

$$1$$

$$9$$

Solution

Question 7

$$21$$

$$22$$

$$23$$

None of the above

Solution

Question 8

$$3$$

$$9$$

$$27$$

$$81$$

Solution

Question 9

$$7$$

$$2$$

$$4$$

$$1$$

Solution

Question 10

changes with the change in variable

doesn"t change with the change in variable

many or may not change with the change in variable

all of the above

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