What is the quotient of 64x2−488 ?(1 point)%0D%0AResponses%0D%0A%0D%0A8x2−6%0D%0A8 x squared minus 6%0D%0A%0D%0A2x2%0D%0A2 x squared%0D%0A%0D%0A8x−16%0D%0A8 x minus Start Fraction 1 over 6 End Fraction%0D%0A%0D%0A8x−6

Question

What is the quotient of  64x2−488 ?(1 point)%0D%0AResponses%0D%0A%0D%0A8x2−6%0D%0A8 x squared minus 6%0D%0A%0D%0A2x2%0D%0A2 x squared%0D%0A%0D%0A8x−16%0D%0A8 x minus Start Fraction 1 over 6 End Fraction%0D%0A%0D%0A8x−6

GPT-4o mini · Answer

To find the quotient of $ 64x^2 - 488 $, we can factor the expression. First, let's factor out the greatest common factor (GCF): 1. The GCF of $ 64 $ and $ 488 $ is $ 8 $. 2. Factoring $ 8 $ out of the expression gives us: $$ 64x^2 - 488 = 8(8x^2 - 61) $$ Now, the expression is $ 8(8x^2 - 61) $. If we are finding the quotient while ignoring the factor of $ 8 $, we can focus on $ 8x^2 - 61$ as the polynomial. However, among the provided responses, let's see which one matches our expression: - $ 8x^2 - 6 $ - $ 2x^2 $ - $ 8x - 16 $ - $ 8x - \frac{1}{6} $ - $ 8x - 6 $ None of these options directly correspond to $ 8(8x^2 - 61) $ being provided as $ 8x^2 - 61 $. If we were simply focusing on the coefficients, then the expression $ 8x^2 - 6 $ could relate if modified. However, it doesn't seem directly linked to $ 64x^2 - 488 $. The closest derived quotient based on our factoring approach would be $ 8x^2 - 61$ not neatly fitting the options given. If we were to simply find a general answer or reduce without factoring out, it would still lack clarity. To proceed accurately, please clarify if you needed something beyond factoring or confirming the requirements stated!