Divide 28x2+7x−77x2 . What is the quotient?(1 point) Responses 4+1x2 4 plus Start Fraction 1 over x squared End Fraction 4+1x−1x2 4 plus Start Fraction 1 over x End Fraction minus Start Fraction 1 over x squared End Fraction 4x2 Start Fraction 4 over x squared End Fraction 4+12x 4 plus Start Fraction 1 over 2 x End Fraction

1 answer

To divide \( 28x^2 + 7x - 77x^2 \), first, we simplify the expression.

  1. Combine like terms: \[ 28x^2 - 77x^2 + 7x = (28 - 77)x^2 + 7x = -49x^2 + 7x \]

Now, express the problem as dividing \(-49x^2 + 7x\) by some divisor. However, the divisor isn't specified in the question. Assuming you want to divide by \(x\), we can proceed with that.

  1. Dividing each term of \(-49x^2 + 7x\) by \(x\): \[ \frac{-49x^2}{x} + \frac{7x}{x} = -49x + 7 \]

Thus, if we are dividing the expression by \(x\), the quotient is: \[ -49x + 7 \]

If you have a specific divisor, please provide it, and I will continue from there. If the quotient choices revolve around a more detailed expression or different manipulations, please clarify!