What is the quotient of 64x2−488 ?(1 point)

Question

Responses

8x−6
8 x minus 6

8x2−6
8 x squared minus 6

8x−16
8 x minus Start Fraction 1 over 6 End Fraction

2x2

Answer 1

To find the quotient of \( 64x^2 - 488 \), we can factor out a common term.

1. Start with the expression:
   \( 64x^2 - 488 \)

2. Notice that both terms have a common factor of 8:

   \( 64x^2 - 488 = 8(8x^2 - 61) \)

3. The quotient then is:
   \( 8x^2 - 61 \)

However, since this doesn't match any of the provided options directly (as they're in different forms), we will compare it to the choices:

• \( 8x - 6 \)
• \( 8x^2 - 6 \)
• \( 8x - 16 \)
• \( 2x^2 \)

From the options provided, the closest match is:

• \( 8x^2 - 6 \)

This implies that the direct quotient might be intended as per the options listed in some form of simplification; hence, none matches exactly from your factorization above.

In summary, the correct expression simplifying \( 64x^2 - 488 \) suggests a mistake in option generation or an understanding of which is the closest quotient. Of the options listed, none is exactly correct, but taking just the coefficient into consideration could make option: “8x^2 - 6” the most relevant.

Please ensure to clarify or provide additional context if needed!