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Question (1)

QN0036621

Which of the following is in the standard form of a quadratic equation?

(A) ax+b=0
(B) ax²+bx+c=0, a≠0
(C) ax³+bx²+c=0
(D) ax²+bx=0, a=0

Correct Answer: B

Explanation:

A quadratic equation is of the form ax²+bx+c=0, where a≠0.

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Question (2)

QN0036622

Which of the following equations is NOT quadratic?

(A) x²−5x+6=0
(B) 2x²+7=0
(C) 3x²−4x=0
(D) , the degree is 1.

Correct Answer: D

Explanation:

The highest power of x must be 2 for a quadratic equation. In (d), the degree is 1.

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Question (3)

QN0036623

The roots of a quadratic equation are the same as the zeroes of its corresponding:

(A) Linear polynomial
(B) Cubic polynomial
(C) Quadratic polynomial
(D) Constant polynomial

Correct Answer: C

Explanation:

The zeroes of ax²+bx+c and the roots of ax²+bx+c=0 are the same.

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Question (4)

QN0036624

A quadratic equation can have at most how many roots?

(A) One
(B) Two
(C) Three
(D) Four

Correct Answer: B

Explanation:

A quadratic polynomial can have at most two zeroes, so a quadratic equation can have at most two roots.

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Question (5)

QN0036625

Which method involves splitting the middle term to factorise a quadratic expression?

(A) Substitution
(B) Elimination
(C) Factorisation
(D) Cross multiplication

Correct Answer: C

Explanation:

In the factorisation method, the middle term is split suitably to obtain two linear factors.

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Question (6)

QN0036626

Which of the following equations becomes quadratic after simplification?

(A) x+5=2x+1
(B) (x+2)³=x³−4
(C) 2x+3=0
(D) x³+1=0

Correct Answer: B

Explanation:

Expanding (x+2)³ and cancelling x³ gives 6x²+12x+12=0, which is quadratic.

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Question (7)

QN0036627

If x=2 is a root of x²−5x+k=0, then k is:

(A) 4
(B) 6
(C) 8
(D) 10

Correct Answer: B

Explanation:

Substituting x=2 gives 4−10+k=0, so k=6.

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Question (8)

QN0036628

The discriminant of ax²+bx+c=0 is:

(A) b²+4ac
(B) b²−4ac
(C) 4ac−b²
(D) a²−4bc

Correct Answer: B

Explanation:

The discriminant is D=b²−4ac.

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Question (9)

QN0036629

If the discriminant of a quadratic equation is negative, then the equation has:

(A) Two distinct real roots
(B) Two equal real roots
(C) No real roots
(D) One positive root

Correct Answer: C

Explanation:

If D=b²−4ac<0, the quadratic equation has no real roots.

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Question (10)

QN0036630

If the discriminant is zero, the roots of a quadratic equation are:

(A) Distinct and real
(B) Equal and real
(C) Imaginary and unequal
(D) Always positive

Correct Answer: B

Explanation:

When D=0, the quadratic equation has two equal real roots.

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Question (1)

Which of the following is in the standard form of a quadratic equation?

Explanation:

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Question (2)

Which of the following equations is NOT quadratic?

Explanation:

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Question (3)

The roots of a quadratic equation are the same as the zeroes of its corresponding:

Explanation:

Link:

Question (4)

A quadratic equation can have at most how many roots?

Explanation:

Link:

Question (5)

Which method involves splitting the middle term to factorise a quadratic expression?

Explanation:

Link:

Question (6)

Which of the following equations becomes quadratic after simplification?

Explanation:

Link:

Question (7)

If x=2 is a root of x²−5x+k=0, then k is:

Explanation:

Link:

Question (8)

The discriminant of ax²+bx+c=0 is:

Explanation:

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Question (9)

If the discriminant of a quadratic equation is negative, then the equation has:

Explanation:

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Question (10)

If the discriminant is zero, the roots of a quadratic equation are:

Explanation:

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