MCQ practice · SSC Higher Mathematics Board questions · Chapter 2: Algebraic Expression
The factors of 3x² − 7x − 6 are- which of the following is correct?
- i. x − 3
- ii. 3x − 2
- iii. 3x + 2
Think it through first, then pick an option.
- a i and ii
- b i and iii
- c ii and iii
- d i, ii and iii
Answer and explanation
Correct answer: b i and iii
i and iii are true: 3x² − 7x − 6 = (x − 3)(3x + 2); ii is false, P(2/3) = 4/3 − 14/3 − 6 ≠ 0.
Why the other options are wrong
- a i and ii: i and ii: ii is false, 3x − 2 is not a factor; (x − 3) and (3x + 2) are the factors.
- c ii and iii: ii is false, so this pair is not correct.
- d i, ii and iii: Because ii is false, the three cannot all be correct.
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