Chapter-10 Algebra Advanced — Online MCQ Test
MATHS · Samacheer Kalvi 8th · Tamil Nadu State Board
Practice Chapter-10 Algebra Advanced with a free chapter-wise online MCQ test.
This chapter covers: factorization equations variables Explains factorization equations and algebraic problem solving.
AI-generated questions from basic to board-exam level, with instant results and explanations.
Chapter-10 Algebra Advanced — Important Questions & Answers
What is the factorization of x^2 + 5x + 6?
- A. (x + 1)(x + 6)
- B. (x + 2)(x + 3)
- C. (x - 2)(x - 3)
- D. (x + 4)(x + 2)
Answer: B. (x + 2)(x + 3)
We need two numbers whose product is 6 and sum is 5. They are 2 and 3, so the factorization is (x + 2)(x + 3).
We need two numbers whose product is 6 and sum is 5. They are 2 and 3, so the factorization is (x + 2)(x + 3).
Which of the following is a factor of 3x + 6?
- A. x + 3
- B. 3x
- C. x + 2
- D. 3(x + 2)
Answer: D. 3(x + 2)
3x + 6 can be written as 3(x + 2). So 3 and (x + 2) are factors together.
3x + 6 can be written as 3(x + 2). So 3 and (x + 2) are factors together.
Factorize: 4x + 12
- A. 4(x + 3)
- B. 2(2x + 6)
- C. 6(x + 2)
- D. x(4 + 12)
Answer: A. 4(x + 3)
The greatest common factor is 4. So 4x + 12 = 4(x + 3).
The greatest common factor is 4. So 4x + 12 = 4(x + 3).
If x^2 + px + 16 = (x + 4)(x + 4), what is the value of p?
- A. 4
- B. 8
- C. 16
- D. 12
Answer: B. 8
(x + 4)(x + 4) = x^2 + 8x + 16. So p = 8.
(x + 4)(x + 4) = x^2 + 8x + 16. So p = 8.
If x + 1 is a factor of x^2 + mx + 12, then the value of m is:
- A. 11
- B. -11
- C. 13
- D. -13
Answer: B. -11
If x + 1 is a factor, substitute x = -1. Then 1 - m + 12 = 0, so m = 13? Wait, carefully: (-1)^2 + m(-1) + 12 = 0 gives 1 - m + 12 = 0, hence m = 13.
If x + 1 is a factor, substitute x = -1. Then 1 - m + 12 = 0, so m = 13? Wait, carefully: (-1)^2 + m(-1) + 12 = 0 gives 1 - m + 12 = 0, hence m = 13.