Answer:

Explanation:


Using long division method.
Dividend= (Divisor * Quotient)+Remainder
![a^(2) -4a+3=([a+3]*a)+(-7a+3)](https://img.qammunity.org/2019/formulas/mathematics/high-school/s113gh1aa6uug3w5zwiuumzsjp7bk6ldl7.png)
![a^(2) -4a+3=([a+3]*[a-7])+(24)](https://img.qammunity.org/2019/formulas/mathematics/high-school/ltxaf65i82ilpbugazwlsw9psv68rdp1b0.png)
Thus the remainder is 24
Since Manuel left the calculation : -7a+3-(-7a-21)= -7a+3+7a+21= 24
Solving his left calculation further we get the remainder 24.
Hence the remainder over divisor is
