Binomial Theorem (Intro) - Exam Prep Case Studies

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Binomial Theorem (Intro) - Case Studies

Q. What is the solution to the equation 4(x - 1) = 2(x + 3)?

Solution

Distribute: 4x - 4 = 2x + 6. Subtract 2x: 2x - 4 = 6. Add 4: 2x = 10. Divide by 2: x = 5.

Correct Answer: C — x = 2

Q. What is the solution to the equation 4x^2 - 12x + 9 = 0?

Solution

Factor the equation: (2x - 3)(2x - 3) = 0. Thus, x = 3.

Correct Answer: C — x = 3

Q. Which expression represents the expansion of (x + 2)(x - 3)?

Solution

Use the distributive property: x^2 - 3x + 2x - 6 = x^2 - x - 6.

Correct Answer: A — x^2 - x - 6

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