10

Set 10: Quadratic Equations (Advanced)

Explanation

Answer: A

What is the product of the roots for x2+7x+12=0x^2 + 7x + 12 = 0?

A.

12

✓ Correct
B.

-12

C.

7

D.

-7

Detailed Explanation

Choice A is correct. Choice A is the correct answer. According to Vieta's formulas, the product of roots is c/ac/a. 1. Identify c=12,a=1c=12, a=1. 2. Product = 12/1=1212 /1 = 12. Choice B is incorrect because of sign error. Choice C is incorrect because it is related to the sum. Choice D is incorrect because it is the sum.

Key Steps:

•

The correct answer is 12

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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