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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)?

User Kidoher
by
9.1k points

1 Answer

5 votes

Answer:

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

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

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)

User Michael Lawton
by
8.3k points

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