Rewriting Rational Expressions Using Long Division

This video tutorial teaches how to rewrite rational expressions using long division. It begins with an introduction to the concept, followed by a numerical example using the division of 2561 by 15. The tutorial then applies long division to rational expressions, demonstrating the process with polynomial terms. Finally, an advanced example using a trinomial divisor is presented, reinforcing the method and ensuring understanding of the concept.

What is the remainder when 2561 is divided by 15 using long division?

• 12

• 11

• 10

• 13

In polynomial long division, what is the first step when dividing by a monomial?

• Subtract the divisor from the dividend

• Add the divisor to the dividend

• Divide the first term of the dividend by the first term of the divisor

• Multiply the entire dividend by the divisor

What is the result of subtracting 7x from 7x in polynomial long division?

• x

• 14x

• 7x

• 0

When performing long division with a trinomial divisor, what should you remember to do?

• Ignore the remainder

• Multiply all terms in the divisor by the term in the quotient

• Add the terms in the divisor

• Only multiply the first term of the divisor

What is the remainder when dividing a polynomial by a trinomial if no terms can be multiplied to equal the remainder?

• The remainder is zero

• The remainder is the last term of the dividend

• The remainder is the last term of the divisor

• The remainder is the constant term