MCQ practice · SSC Higher Mathematics Board questions · Chapter 2: Algebraic Expression
If the polynomial F(a) = 2a³ + 6a² − 6a + b is divisible by a − 1, what is b?
Think it through first, then pick an option.
- a −2
- b 1
- c 2
- d 3
Answer and explanation
Correct answer: a −2
F(1) = 2 + b = 0 gives b = −2.
Why the other options are wrong
- b 1: With b = 1, F(1) = 3, not zero; it is a different quantity from the one asked for.
- c 2: With b = 2, F(1) = 4, not zero; it is a different quantity from the one asked for.
- d 3: With b = 3, F(1) = 5, not zero; it is a different quantity from the one asked for.
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