Dividing and Factoring Rational Expressions

Mr. D explains how to divide rational expressions by using the Keep Change Flip method. He demonstrates the process by converting the division into multiplication, factoring trinomials, and factoring the difference of perfect squares. The video also covers simplifying the expression by canceling common factors, leading to the final simplified answer.

What is the first step in dividing rational expressions?

• Multiply the fractions directly.

• Convert the division problem into a multiplication problem.

• Subtract the denominators.

• Add the numerators together.

What does the 'Keep' in Keep Change Flip refer to?

• Keep the first fraction.

• Keep the second fraction.

• Keep the denominators the same.

• Keep the operation as division.

How do you factor the expression x^2 + 9x + 14?

• (x + 14)(x - 1)

• (x + 7)(x - 2)

• (x + 9)(x + 14)

• (x + 7)(x + 2)

What is the factored form of x^2 - 49?

• (x + 7)(x - 7)

• (x + 49)(x - 1)

• (x + 7)(x + 7)

• (x - 49)(x + 1)

What two numbers add to 1 and multiply to -56 in the expression x^2 + x - 56?

• 8 and -7

• 7 and -8

• 1 and -56

• 56 and -1

What is the greatest common factor of 3x + 6?

• 3

• 2

• 6

• x

Which common factor can be canceled out from the numerator and denominator?

• x + 3

• x + 1

• x + 8

• x + 7

What remains in the numerator after canceling out all common factors?

• x + 1

• x + 2

• x + 7

• x + 8

What remains in the denominator after canceling out all common factors?

• 3

• x + 1

• x + 7

• x + 2

What is the final simplified form of the expression?

• (x + 2) / 3

• (x + 7) / 3

• (x + 8) / 3

• (x + 1) / 3