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If x² - 7x + 12 = 0, what is the product of the two solutions?

GRE · 2025 · quant slot 2
Question:
If x² - 7x + 12 = 0, what is the product of the two solutions?

Options

(A) 7
(B) 10
(C) 12
(D) 19
(E) 24
Answer: (C) 12

Explanation:
For quadratic ax² + bx + c = 0, product of roots = c/a = 12/1 = 12. Verification: (x-3)(x-4) = 0, roots are 3 and 4, product = 12.

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