Quadratic Equations Test

Result

Quadratic Equations Test - 4

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

For which value of `a` polynomial (x - 4)² + (2a - 373)² will have equal zeroes?

A
373

B

C
0

D
Question 2
1 / -0

Which of the following numbers represents the sum of zeroes of the polynomial x² - 4x + 3?

A
4

B
- 4

C
3

D
- 3
Question 3
1 / -0

Which of the following options is same as x² - 5x + 6?

A
(x - 3(x + 2)

B
(x - 2) (x + 3)

C
(x - 2) (x - 3)

D
(x + 3) (x + 2)
Question 4
1 / -0

What are the zeroes of the polynomial p(x) = 2x² - 3x + 1?

A
1,

B
- 1,

C
1,

D
1, - 2
Question 5
1 / -0

Which of the following pairs represents the zeroes of the polynomial x² + 2x - 15?

A
2, - 15

B
3, 4

C
3, 5

D
3, - 5
Question 6
1 / -0

One of the zeroes of the polynomial x² + 2x – 3 is –3. The other zero is

A
– 11

B
-3

C
-2

D
1
Question 7
1 / -0

One of the zeroes of the polynomial x² + 2x - 35 is 5. The other zero is ____.

A
- 7

B
-6

C
- 5

D
- 2
Question 8
1 / -0

Which of the following polynomials has the product of zeroes equal to ?

A
x² + 8x + 7

B
x²+ 7x + 8

C
7x²+ 8x + 1

D
7x² + x + 8
Question 9
1 / -0

Which of the following numbers represents the sum of zeroes of the polynomial x² - 9?

A
- 6

B
6

C
0

D
9
Question 10
1 / -0

Which of the following polynomials has the sum of zeroes `1` and the product of zeroes `-2`?

A
x² + x - 2

B
x²+ x + 2

C
x²- x - 2

D
x² + 2x + 1
Question 11
1 / -0

Which of the following polynomials has the sum of zeros and the product of zeros -1?

A
2x² - 3x + 2 = 0

B
2x² + 3x - 2 = 0

C
2x² - 3x - 2 = 0

D
2x² + 3x + 2 = 0
Question 12
1 / -0

One of the zeroes of the polynomial x² - 5x + 4 is 1. The other zero is _____.

A
-3

B
- 2

C
4

D
6
Question 13
1 / -0

One of the zeroes of the polynomial x² – 10x + 21 is 3. The other zero is

A
21

B
7

C
-3

D
– 10
Question 14
1 / -0

Which of the following option represents the sum of the roots of the polynomial \(x^{2}-(\sqrt{2}+\sqrt{3}) x+\sqrt{6}=0\)?

A
\(\sqrt{2}\)

B
\(\frac{\sqrt{6}}{\sqrt{2}+\sqrt{3}}\)

C
\(\frac{\sqrt{2}}{\sqrt{3}}\)

D
\(\sqrt{2}+\sqrt{3}\)

Solution

The given polynomial is,
\(x^{2}-(\sqrt{2}+\sqrt{3}) x+\sqrt{6}=0\)
Comparing the above equation with \(ax^2+bx+c=0\), we get,
\(a=1,b=-(\sqrt{2}+\sqrt{3}) \) and \(c=\sqrt 6\)
We know that, sum of roots of a quadratic polynomial is \(=-\frac{b}{a}\)
Therefore, sum of roots of the given polynomial \(=-\frac{[-(\sqrt{2}+\sqrt{3})]}{1}=(\sqrt{2}+\sqrt{3})\)
Hence, the correct option is (D).
Question 15
1 / -0

One of the zeroes of the polynomial 2x² + x – 1 is –1. The other zero is

A

B

C
3

D
5