9th Class Math Chapter 4 Online Quiz Test

by admin

2 mins read

📝 Quick MCQs Quiz – Chapter 4: Factorization & Algebraic Manipulation

12 questions • Instant result with explanations • Test your skills!

1. The Remainder Theorem states that if a polynomial f(x) is divided by (x – a), then the remainder is:

a) f(a)
b) f(0)
c) a
d) 0

2. If (x – 2) is a factor of polynomial p(x), then p(2) is equal to:

a) 0
b) 2
c) –2
d) 1

3. Factorization of x² – 9 is:

a) (x – 3)(x – 3)
b) (x – 3)(x + 3)
c) (x + 3)(x + 3)
d) (x² – 9)

4. The factorization of 8x³ – 27y³ is:

a) (2x – 3y)(4x² + 6xy + 9y²)
b) (2x – 3y)(4x² – 6xy + 9y²)
c) (2x + 3y)(4x² – 6xy + 9y²)
d) (2x – 3y)(4x² + 6xy – 9y²)

5. HCF of two polynomials is always a:

a) Monomial
b) Polynomial of highest degree
c) Common factor of highest degree
d) Constant only

6. If f(x) = x³ – 6x² + 11x – 6 and f(1) = 0, then (x – 1) is:

a) A factor
b) Not a factor
c) Remainder
d) Quotient

7. Factorize: 4x² – 9y²

a) (2x – 3y)(2x + 3y)
b) (2x – 3y)(2x – 3y)
c) (4x – 9y)(4x + 9y)
d) (2x + 3y)(2x + 3y)

8. The LCM of two polynomials is obtained by multiplying them and dividing by:

a) Their HCF
b) Their product
c) Their sum
d) Their difference

9. Factorize: x² + 5x + 6

a) (x + 2)(x + 3)
b) (x + 1)(x + 6)
c) (x – 2)(x – 3)
d) (x + 5)(x + 1)

10. If p(x) = x³ – 3x² – 4x + 12 and p(3) = 0, then one factor is:

a) (x – 3)
b) (x + 3)
c) (x – 2)
d) (x + 4)

11. Algebraic identity for (a + b)³ is:

a) a³ + b³ + 3ab(a + b)
b) a³ – b³ – 3ab(a – b)
c) a³ + 3a²b + 3ab² + b³
d) Both a and c

12. The HCF of x² – 5x + 6 and x² – 7x + 12 is:

a) (x – 2)
b) (x – 3)
c) (x – 2)(x – 3)
d) 1