Polynomials Test

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Polynomials Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following polynomials is a quadratic polynomial?

A
x + 1

B
x³ + x² + x + 1

C
x²

D
x³ + 1

Solution

A quadratic polynomial is the one which has '2' as the maximum power in the polynomial expression.
Hence, the answer is x².
Question 2
1 / -0

Which of the following ordered pairs represents the point of intersection of y = x and the x-axis?

A
(1, 1)

B
(2, 0)

C
(0, 0)

D
(– 1, 0)

Solution

y = x
At x-axis, y = 0
On solving, we get x = 0.
⇒ Point is (0, 0)
Question 3
1 / -0

What is zero of the polynomial 2x²?

A
2

B
0

C
1

D
4

Solution

To find the zero, put 2x² = 0
2x² = 0
⇒ x2 = 0
⇒ x = 0
Question 4
1 / -0

Which of the following values is a zero of the polynomial 3x² – 27?

A
– 9

B
3√3

C
3

D
9

Solution

3x²– 27
Put 3x² – 27 = 0
⇒ 3x² = 27
⇒ x²= 9 and x = ± 3
∴ 3 is the answer.
Question 5
1 / -0

Which of the following values is a zero of the polynomial 2x² – 2?

A
1

B
0

C
2

D
√2

Solution

2x² – 2 = 0
2x² = 2
⇒ x²= 1
⇒ x = ±1
∴ 1 is the zero of 2x² – 2.

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Re-Attempt Weekly Quiz Competition

Polynomials Test - 2

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Polynomials Test - 2

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Question 1

x + 1

x3 + x2 + x + 1

x2

x3 + 1

Solution

Question 2

(1, 1)

(2, 0)

(0, 0)

(– 1, 0)

Solution

Question 3

2

0

1

4

Solution

Question 4

– 9

3√3

3

9

Solution

Question 5

1

0

2

√2

Solution

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x³ + x² + x + 1

x²

x³ + 1