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Question (1)

QN0036521

Which of the following is a quadratic polynomial?

(A) 3x + 5
(B) x³ - 2x + 1
(C) 4x² - 7x + 3
(D) 5x⁴ + x

Correct Answer: C

Explanation:

A quadratic polynomial has degree 2. Therefore, 4x² - 7x + 3 is quadratic.

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Question (2)

QN0036522

The degree of the polynomial 7x³ - 4x² + x - 9 is:

(A) 1
(B) 2
(C) 3
(D) 4

Correct Answer: C

Explanation:

The highest power of x is 3, so the degree is 3.

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Question (3)

QN0036523

Which statement about a polynomial of degree n is correct?

(A) It always has exactly n zeroes
(B) It has at most n zeroes
(C) It has at least n zeroes
(D) It has no zeroes

Correct Answer: B

Explanation:

A polynomial of degree n can have at most n zeroes.

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Question (4)

QN0036524

If p(x) = x² - 5x + 6, then p(2) is:

(A) 0
(B) 2
(C) 4
(D) 6

Correct Answer: A

Explanation:

p(2) = 2² - 5(2) + 6 = 4 - 10 + 6 = 0.

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Question (5)

QN0036525

The zero of the polynomial 5x - 15 is:

(A) 2
(B) 3
(C) 4
(D) 5

Correct Answer: B

Explanation:

Put 5x - 15 = 0. Thus 5x = 15 and x = 3.

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Question (6)

QN0036526

The graph of a linear polynomial generally intersects the x-axis at:

(A) no point
(B) exactly one point
(C) exactly two points
(D) three points

Correct Answer: B

Explanation:

A linear polynomial has exactly one zero, corresponding to the x-coordinate where its graph intersects the x-axis.

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Question (7)

QN0036527

If the graph of a polynomial intersects the x-axis at x = -3, 1 and 4, the polynomial has:

(A) 1 zero
(B) 2 zeroes
(C) 3 zeroes
(D) 4 zeroes

Correct Answer: C

Explanation:

Each x-coordinate where the graph intersects the x-axis represents a zero. Hence there are 3 zeroes.

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Question (8)

QN0036528

For p(x) = 2x² + 7x + 3, the sum of its zeroes is:

(A) 7/2
(B) -7/2
(C) 3/2
(D) -3/2

Correct Answer: B

Explanation:

Sum of zeroes = -b/a = -7/2.

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Question (9)

QN0036529

For p(x) = 3x² - 8x + 4, the product of its zeroes is:

(A) 4/3
(B) -4/3
(C) 8/3
(D) -8/3

Correct Answer: A

Explanation:

Product of zeroes = c/a = 4/3.

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Question (10)

QN0036530

If the zeroes of x² - 9x + 20 are α and β, then α + β equals:

(A) 9
(B) -9
(C) 20
(D) -20

Correct Answer: A

Explanation:

α + β = -b/a = -(-9)/1 = 9.

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Question (1)

Which of the following is a quadratic polynomial?

Explanation:

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Question (2)

The degree of the polynomial 7x³ - 4x² + x - 9 is:

Explanation:

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Question (3)

Which statement about a polynomial of degree n is correct?

Explanation:

Link:

Question (4)

If p(x) = x² - 5x + 6, then p(2) is:

Explanation:

Link:

Question (5)

The zero of the polynomial 5x - 15 is:

Explanation:

Link:

Question (6)

The graph of a linear polynomial generally intersects the x-axis at:

Explanation:

Link:

Question (7)

If the graph of a polynomial intersects the x-axis at x = -3, 1 and 4, the polynomial has:

Explanation:

Link:

Question (8)

For p(x) = 2x² + 7x + 3, the sum of its zeroes is:

Explanation:

Link:

Question (9)

For p(x) = 3x² - 8x + 4, the product of its zeroes is:

Explanation:

Link:

Question (10)

If the zeroes of x² - 9x + 20 are α and β, then α + β equals:

Explanation:

Link:

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