Final answer:
To divide (5p + 6p - 6) by (5p - 4), the quotient is 1 and the remainder is 2p - 6, which can be expressed as a simplified fraction.
Step-by-step explanation:
To divide the expression (5p + 6p - 6) by (5p - 4), we can use long division. Divide the leading terms: 5p divided by 5p equals 1. Write this as the quotient. Multiply the quotient with (5p - 4) and subtract the result from (5p + 6p - 6). The remainder is 2p - 6. To include the remainder as a simplified fraction, divide it by (5p - 4). Therefore, the final answer is 1 + [(2p - 6) / (5p - 4)].
Learn more about Dividing polynomials