AP POLYCET MATHEMATICS Multiple Choice Questions (MCQs)
AP POLYCET Mathematics - Quadratic Expressions MCQs
-
What is the general form of a quadratic expression?
- a) \( ax^2 + bx + c = 0 \)
- b) \( ax^2 + b = 0 \)
- c) \( ax^3 + bx + c = 0 \)
- d) \( a^2 + bx + c = 0 \)
Answer: a) \( ax^2 + bx + c = 0 \)
-
If the quadratic equation \( x^2 - 5x + 6 = 0 \) is solved, what are the roots?
- a) 2, 3
- b) -2, -3
- c) 1, 6
- d) -1, 6
Answer: a) 2, 3
-
What is the discriminant of the quadratic equation \( 2x^2 - 4x + 1 = 0 \)?
- a) 8
- b) 4
- c) 16
- d) -4
Answer: b) 4
-
What is the sum of the roots of the quadratic equation \( x^2 + 4x - 12 = 0 \)?
- a) 4
- b) -4
- c) 12
- d) -12
Answer: b) -4
-
The roots of the quadratic equation \( x^2 + 6x + 9 = 0 \) are:
- a) -3
- b) 3
- c) -6
- d) 6
Answer: a) -3
-
If a quadratic equation has real and equal roots, the discriminant is:
- a) Positive
- b) Zero
- c) Negative
- d) Undefined
Answer: b) Zero
-
The product of the roots of the quadratic equation \( x^2 - 8x + 15 = 0 \) is:
- a) 8
- b) 15
- c) -15
- d) -8
Answer: b) 15
-
Which of the following is a quadratic expression?
- a) \( x + 2 \)
- b) \( x^2 + 4x + 5 \)
- c) \( 2x + 3 \)
- d) \( x^3 + 2x^2 + 3 \)
Answer: b) \( x^2 + 4x + 5 \)
-
What is the value of the discriminant of the quadratic equation \( 3x^2 + 2x + 1 = 0 \)?
- a) 4
- b) 2
- c) -8
- d) 8
Answer: c) -8
-
If \( 2x^2 + 3x - 5 = 0 \) has real roots, then the value of its discriminant is:
- a) Positive
- b) Zero
- c) Negative
- d) None of these
Answer: a) Positive
-
Which of the following represents the factorized form of the quadratic expression \( x^2 + 7x + 12 \)?
- a) \( (x + 4)(x + 3) \)
- b) \( (x - 4)(x + 3) \)
- c) \( (x - 7)(x + 12) \)
- d) \( (x - 6)(x - 2) \)
Answer: a) \( (x + 4)(x + 3) \)
-
If one root of the quadratic equation \( x^2 - 4x + 3 = 0 \) is 1, what is the other root?
- a) -3
- b) 3
- c) -1
- d) 2
Answer: b) 3
-
What is the factorized form of the quadratic expression \( 2x^2 + 7x + 3 \)?
- a) \( (2x + 1)(x + 3) \)
- b) \( (2x - 1)(x + 3) \)
- c) \( (2x + 3)(x + 1) \)
- d) \( (x + 3)(2x + 1) \)
Answer: a) \( (2x + 1)(x + 3) \)
-
What is the value of the roots of the quadratic equation \( x^2 - 6x + 9 = 0 \)?
- a) 3, 3
- b) 6, 9
- c) -3, -3
- d) -6, 9
Answer: a) 3, 3
-
The quadratic equation \( 4x^2 - 12x + 9 = 0 \) has roots:
- a) 1, 2
- b) -3, 3
- c) 3, 3
- d) 0, 9
Answer: c) 3, 3
Next Page >>
Note/Caution: studentsbizz.com does not promise a job or an interview in exchange for money. Fraudsters may ask you to pay under the pretext of a registration fee or refundable fee, but please be aware that legitimate employers will not require such payments.
Join in Our Groups
@ 2025 Students Bizz Platform. All Rights Reserved.