Algebra
⏱ ~3-min readAceMark Guide
What this topic is really about
Evaluating the function gives f(0) equals 2, while both f(1) and f(2) resolve to 0, yielding a total sum of 2. Option C is incorrect because 4 might result from arithmetic errors, such as incorrectly calculating f(1) or f(2) as positive integers instead of zero.
To solve the linear equation 2x + 3 = 11, we subtract 3 from both sides to get 2x = 8, and then divide by 2 to find x = 4. Option A is incorrect because substituting x = 3 yields 9, which does not satisfy the equation.
See the mechanism
Evaluating the function gives f(0) equals 2, while both f(1) and f(2) resolve to 0, yielding a total sum of 2. A diagram for this topic isn't available yet — the worked example below walks the same reasoning step by step.
An exam-style question, fully explained
If f(x) = x² – 3x + 2, then f(0) + f(1) + f(2) =
- Identify what the question tests: If f(x) = x² – 3x + 2, then f(0) + f(1) + f(2) =.
- Evaluating the function gives f(0) equals 2, while both f(1) and f(2) resolve to 0, yielding a total sum of 2.
- Option C is incorrect because 4 might result from arithmetic errors, such as incorrectly calculating f(1) or f(2) as positive integers instead of zero.
Traps the examiner sets
- Option C is incorrect because 4 might result from arithmetic errors, such as incorrectly calculating f(1) or f(2) as positive integers instead of zero.
- Option A is incorrect because 2^2 equals 4, not 8.
- Option A is incorrect because substituting x = 3 yields 9, which does not satisfy the equation.
- Choice B confuses the sum with the product, which equals c/a = 6, not the sum.
Test your recall
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