Algebra 2 Regents: Adding and Subtracting Rational Expressions

What is the first step in simplifying a fraction?

• Adding the numerator and denominator

• Factoring the numerator and denominator

• Multiplying the numerator and denominator

• Dividing the numerator by the denominator

When factoring the numerator x^2 - 9, what form does it take?

• (x + 9)(x - 9)

• (x + 3)(x - 3)

• (x + 2)(x - 2)

• (x + 1)(x - 1)

In polynomial long division, what should you do if a term is missing in the sequence of exponents?

• Skip the division process

• Add a placeholder with a coefficient of zero

• Ignore the missing term

• Add a placeholder with a coefficient of one

What is the result of dividing 4x^3 by 2x in polynomial long division?

• 2x^2

• 2x^3

• 4x^2

• 4x^3

If the remainder is zero when dividing G(x) by x + 4, what does it imply?

• x + 4 is a factor of G(x)

• G(x) has no zeros

• G(x) is undefined

• x + 4 is not a factor of G(x)

What does G(-4) = 0 signify in the context of polynomial division?

• -4 is not a zero of G(x)

• -4 is a zero of G(x)

• G(x) is undefined at -4

• G(x) has a remainder of -4

What is the quotient when dividing 3x^3 - 4x^2 + 2x - 1 by x - 4?

• 3x^2 - 8x - 34

• 3x^2 + 8x - 34

• 3x^2 + 8x + 34

• 3x^2 - 8x + 34

Why is x = 4 not a root of f(x) if there is a remainder when dividing by x - 4?

• Because x = 4 is undefined

• Because x - 4 is a factor of f(x)

• Because x - 4 is not a factor of f(x)

• Because x = 4 is a zero of f(x)

What is the least common denominator (LCD) when solving the equation with denominators x and x - 2?

• x

• x - 2

• x(x - 2)

• x + 2

Which of the following is an extraneous root in the given equation?

• x = 0

• x = 4

• x = 2

• x = 7/2