Simplifying Rational Expressions

The video tutorial explains how to simplify expressions by dividing polynomials and trinomials by monomials, ensuring the use of only positive exponents. It provides step-by-step examples, demonstrating the division of each term in the numerator by the denominator and applying exponent rules to simplify the expressions.

What is the first step in simplifying an expression where a polynomial is divided by a monomial?

• Multiply each term in the numerator by the denominator

• Divide each term in the numerator by the denominator

• Add each term in the numerator to the denominator

• Subtract the denominator from each term in the numerator

In the expression 10d^2 + 15D / 5D, what is the simplified form of the first term?

• 2d^2

• 2d

• 2d^3

• 2

What is the simplified form of 15D / 5D?

• 1

• 3

• 3D^2

• 3D

In the expression 7x^3 / 6x, what is the simplified form of the term?

• 7x^2

• 7x^2 / 6

• 7x / 6

• 7 / 6x^2

What is the simplified form of 12x^2 / 6x?

• 2

• 2x

• 2x^2

• x

In the expression 160x^5 / 5x, what is the simplified form of the term?

• 32x

• 32x^5

• 32x^3

• 32x^4

What is the simplified form of 20x^3 / 5x?

• 4

• 4x^2

• 4x^3

• 4x

In the expression 24x^3 / 3x, what is the simplified form of the term?

• 8x^3

• 8x^2

• 8x

• 8

What is the simplified form of 51x^2 / 3x?

• x

• 17x^2

• 17x

• 17

What is the simplified form of 1 / 3x?

• 1/3x

• x/3

• 3x

• 1/3