Suppose a (x), b (x), q (x), and r (x) are polynomials, and a (x) divided by b (x) is equal to q (x) with a remainder of r (x). Which of these expressions is equal to

a (x)

b (x) ?

a (x) = b (x) * q (x) + r (x)

b (x) = [ a (x) - r (x) ] / q (x)

Step-by-step explanation:

we see : a (x) / (b (x) = q (x) + r (x) / (b (x))

so ...

a (x) = b (x) * q (x) + r (x)

and b (x) = ?

solve for b (x)

a (x) - r (x) = b (x) * q (x)

b (x) = [ a (x) - r (x) ] / q (x)