Thread: values of a and b

if the quotient obtained in dividing x^2 - 7x + b by x + a is x - 2, and the remainder is 5, then what are the values of a and b?


anybody can help on this?


thanks

We have . Expanding the LHS and comparing the coefficients on both sides we have

We are told:



Now, equate coefficients to get two equations, from which you may determine a and b.