Exploring Adding and Subtracting Rational Expressions

What is the first step in dividing a polynomial by a binomial?

• Subtract the numerator from the denominator

• Multiply the numerator and denominator

• Factor the numerator and denominator

• Add the numerator and denominator

In the example x^2 + 7x - 8 divided by x - 1, what are the factors of the numerator?

• x + 1 and x - 8

• x + 8 and x - 1

• x + 4 and x - 2

• x + 2 and x - 4

What is the result of dividing x^2 - 10x + 21 by x - 7?

• x + 3

• x - 3

• x - 7

• x + 7

How do you factor y^2 - 25?

• (y + 5)(y - 5)

• (y - 5)(y - 5)

• (y + 5)(y + 5)

• (y - 5)(y + 5)

What is the result of dividing 2n^2 + 5n - 12 by 2n - 3?

• n - 4

• 2n - 3

• n + 4

• 2n + 3

What are the factors of 16k^2 - 1?

• (4k + 1)(4k - 1)

• (4k + 1)(4k + 1)

• (4k - 1)(4k + 1)

• (4k - 1)(4k - 1)

How do you factor 4m^2 - 20m?

• 4m(m - 5)

• 4(m - 5)

• 4m(m + 5)

• 4(m + 5)

What is the result of dividing 4p^2 - 3p - 10 by p - 2?

• p - 5

• p + 5

• 4p - 5

• 4p + 5

What is the greatest common factor of x^3 - x^2y and -6x + 6y?

• 6y

• x

• x^2

• 6

If the area of a rectangle is 12m^2 - 7m - 10 and the width is 3m + 2, what is the length?

• 4m - 5

• 4m + 5

• 3m - 5

• 3m + 5