Polynomials Test

Result

Polynomials Test - 26

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Zero's of the polynomial p(x) =$$x^{2}$$-2x is / are :

A
0, 2

B
0, 1

C
1, 2

D
2, 3

Solution

Zeros of the polynomial $$x^2-2x=p(x)$$

$$x^2-2x=0$$

$$\Rightarrow x(x-2)=0$$

$$\Rightarrow x=0$$ or $$x=2$$

$$\therefore$$ Zeros of polynomial $$p(x)$$ are $$0$$ and $$2$$
Question 2
1 / -0

The degree of the polynomial $$x^2-5x^4+\dfrac{3}{4}x^7-73x+5$$ is

A
$$7$$

B
$$\dfrac{3}{4}$$

C
$$4$$

D
$$-73$$

Solution

The degree of a polynomial is the highest degree of its monomials.
Degree of $${x}^{2}$$ is $$2$$
Degree of $$-5{x}^{4}$$ is $$4$$
Degree of $$\dfrac{3}{4}{x}^{7}$$ is $$7$$
Degree of $$-73x$$ is $$1$$
Degree of $$5$$ is $$0$$
The highest degree of the polynomial is $$7$$.
Question 3
1 / -0

Sum of zeros of the polynomial $$x^2-6$$ is _______

A
$$0$$

B
$$-6$$

C
$$1$$

D
$$6$$

Solution

For $$ax^2+bx+c=0$$ where $$a\neq0$$, the sum of roots is given by: $$\dfrac{-b}{a}$$.

Here, $$b=0$$, therefore, sum of roots $$=0$$
Question 4
1 / -0

What is the degree of the polynomials $$\sqrt 7 $$?

A
$$\dfrac{1}{2}$$

B
$$5$$

C
$$2$$

D
$$0$$

Solution
Question 5
1 / -0

The expression with only constant is

A
$$y + 3$$

B
$$3x$$

C
$$5(21 - 7)$$

D
$$5 - 5n$$

Solution
Question 6
1 / -0

The zero of polynomial $$9x+2$$ is

A
$$\cfrac{-2}{9}$$

B
$$\cfrac{1}{9}$$

C
$$\cfrac{2}{9}$$

D
$$\cfrac{-1}{9}$$

Solution

The polynomial given is $$9x+2$$
to find the zero of polynomial we need to equate the polynomial to zero

$$\Rightarrow 9x+2=0$$

$$\Rightarrow 9x=-2$$

$$\Rightarrow x=\dfrac {-2}9$$

the zero of the polynomial is $$\dfrac{-2}{9}$$
Question 7
1 / -0

The degree of the polynomial $$3x^3y-5xy^4-2x+1$$ is

A
5

B
4

C
3

D
2

Solution

The degree of the polynomial
$$3x^3y-5xy^4-2x+1$$ is of $$-5xy^4\implies1+4=5$$ [as it is the highest]
Question 8
1 / -0

A cubic polynomial has at most

A
$$1$$ zeroes

B
$$2$$ zeroes

C
$$3$$ zeroes

D
$$4$$ zeroes

Solution

The third degree polynomial function has maximum of $$3$$ zeros
Example: $$x^3-9x=0$$
$$x(x^2-9)=0$$
$$x=0, x=±3$$
Therefore, there are $$3$$ zeroes in cubic polynomial.
Question 9
1 / -0

Zero of the polynomial $$p( x) = 3x +5$$ is :

A
$$0$$

B
$$-5$$

C
$$\dfrac{5}{3}$$

D
$$\dfrac{-5}{3}$$

Solution

Zero of the polynomial $$p(x)$$ is the value of variable $$x$$ at which $$p(x)=0$$.
$$\Rightarrow 3x+5=0$$
$$\Rightarrow 3x=-5$$
$$\Rightarrow x=\dfrac{-5}{3}$$.

Therefore, option $$D$$ is correct.
Question 10
1 / -0

If $$p(x) = x^2 -2 \sqrt {2}x + 1$$, then $$p(2\sqrt 2)$$ is equal to

A
$$0$$

B
$$1$$

C
$$4\sqrt 2$$

D
$$8\sqrt 2 + 1$$

Solution

$$p(x)=x^{ 2 }-2\sqrt { 2 } x+1$$
$$p(2\sqrt { 2 } )=+2\sqrt { 2 } ^{ 2 }-2\sqrt { 2 }\times2\sqrt { 2 } +1$$
$$p(2\sqrt { 2 } )=8-8+1$$
$$p(2\sqrt { 2 } )=1$$
Hence, option B.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Polynomials Test - 26

Result

Polynomials Test - 26

Score

-

Rank

-

SHARING IS CARING

Question 1

0, 2

0, 1

1, 2

2, 3

Solution

Question 2

$$7$$

$$\dfrac{3}{4}$$

$$4$$

$$-73$$

Solution

Question 3

$$0$$

$$-6$$

$$1$$

$$6$$

Solution

Question 4

$$\dfrac{1}{2}$$

$$5$$

$$2$$

$$0$$

Solution

Question 5

$$y + 3$$

$$3x$$

$$5(21 - 7)$$

$$5 - 5n$$

Solution

Question 6

$$\cfrac{-2}{9}$$

$$\cfrac{1}{9}$$

$$\cfrac{2}{9}$$

$$\cfrac{-1}{9}$$

Solution

Question 7

5

4

3

2

Solution

Question 8

$$1$$ zeroes

$$2$$ zeroes

$$3$$ zeroes

$$4$$ zeroes

Solution

Question 9

$$0$$

$$-5$$

$$\dfrac{5}{3}$$

$$\dfrac{-5}{3}$$

Solution

Question 10

$$0$$

$$1$$

$$4\sqrt 2$$

$$8\sqrt 2 + 1$$

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.