4

Set 17: Quadratic Equations (Intermediate)

Explanation

Answer: A

Find the zeros of f(x)=2x2−8xf(x) = 2x^2 - 8x.

A.

0,40, 4

✓ Correct
B.

0,−40, -4

C.

2,42, 4

D.

−2,4-2, 4

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Set f(x)=0f(x) = 0 and factor. 1. 2x2−8x=02x^2 - 8 x = 0. 2. Factor out GCF 2x2x: 2x(x−4)=02x(x - 4) = 0. 3. Solve: 2x=0⇒x=02x = 0 \Rightarrow x = 0 and x−4=0⇒x=4x - 4 = 0 \Rightarrow x = 4. Choice B is incorrect because of sign error on 4. Choice C is incorrect because it misses 0. Choice D is incorrect because it misses 0.

Key Steps:

•

The correct answer is 0,40, 4

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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