Question

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) q(x) + (a(x))/(r(x)) B) q(x) + (b(x))/(r(x)) C) q(x) + (r(x))/(a(x)) D) 7(x) + (r(x))/(b(x))

Answer 1

9514 1404 393

Answer:

  D) q(x) + (r(x))/(b(x))

Step-by-step explanation:

Just as in numerical long division, the remainder can be expressed as a fraction with the divisor as the denominator.

The given relation is ...

  a(x) = b(x)q(x) +r(x)

When both sides are divided by b(x), you get ...

  a(x)/b(x) = q(x) +r(x)/b(x) . . . . . . . matches choice D