Multiplying Rational Algebraic Expressions Quiz

What is the first step in multiplying rational algebraic expressions?

• Add the numerators and denominators

• Subtract the denominators

• Factor the numerators and denominators completely

• Multiply the numerators directly

In the first example, what is the factorization of 4x + 8?

• 8(x + 1)

• 4(x + 2)

• 2(x + 4)

• x(4 + 8)

Which method is used to factor x^2 - 25 in the first example?

• Quadratic formula

• Difference of two squares

• Perfect square trinomial

• Common monomial factoring

In the second example, what are the factors of x^2 - 4x + 4?

• (x + 2)^2

• (x - 2)(x + 2)

• (x - 4)(x + 1)

• (x - 2)^2

What is the result of canceling common factors in the second example?

• 5x + 2 over x - 1

• 5x - 10 over x - 1

• 5x + 10 over x + 1

• 5x - 2 over x + 1

In the third example, what is the factorization of x^2 - 8x + 12?

• (x - 2)(x + 6)

• (x - 4)(x - 3)

• (x - 3)(x + 4)

• (x - 6)(x - 2)

Which method is used to factor x^2 - 16 in the third example?

• Common monomial factoring

• Perfect square trinomial

• Difference of two squares

• Quadratic formula

What is the simplified form of the expression in the third example after canceling common factors?

• 4(x - 2) over (x - 6)(x - 4)

• 4(x + 2) over (x + 6)(x + 4)

• 4(x - 6) over (x - 4)(x - 2)

• 4(x + 6) over (x + 4)(x + 2)

What is the practice problem given at the end of the video?

• x + 5 over 4x - 16 times 2x^2 - 32 over x^2 - 25

• x - 5 over 4x + 16 times 2x^2 + 32 over x^2 + 25

• x + 5 over 4x + 16 times 2x^2 + 32 over x^2 + 25

• x - 5 over 4x - 16 times 2x^2 - 32 over x^2 - 25

What should viewers do if they want to revisit the examples?

• Read a textbook

• Skip to the end

• Watch the video again

• Ask a friend