Factoring Polynomials: Key Concepts and Techniques

What is a polynomial with three terms called?

• Binomial

• Polynomial

• Trinomial

• Monomial

What type of polynomial is represented by the expression x + 2?

• Binomial

• Monomial

• Trinomial

• None of the above

What is the first step in factoring out the greatest common factor?

• Divide by the lowest coefficient

• Find the highest common factor

• List all factors of the terms

• Identify the variable terms

In the expression 2x^2 + 4x + 6, what is the greatest common factor?

• 6

• 4

• 2

• 12

In the expression x^2 + 3x + 2, what factors would correctly fill the parentheses (x + ?)(x + ?)?

• 2 and 2

• 1 and 1

• 3 and 2

• 2 and 1

When factoring x^2 - 3x - 4, which set of factors correctly fills the parentheses (x ? 4)(x ? 1)?

• plus, minus

• minus, plus

• plus, plus

• minus, minus

For the expression 6x^2 + 5x - 4, which factor pair is used in the correct factoring?

• (6x - 4)(x + 1)

• (6x + 4)(x - 1)

• (3x - 4)(2x + 1)

• (3x + 4)(2x - 1)

What is the correct first step when using the alternative method to factor 6x^2 + 5x - 4?

• Multiply the coefficient of x^2 by the constant term

• Identify the middle term

• List all possible factors of the constant term

• Divide all terms by the coefficient of x^2

What is the result of simplifying the expression obtained from the alternative factoring method for 6x^2 + 5x - 4?

• x - 4 and x + 1

• x + 4 and x - 1

• 3x - 4 and 2x + 1

• 3x + 4 and 2x - 1

Which method involves changing the problem by multiplying coefficients in factoring?

• Basic trinomial method

• Greatest common factor method

• Advanced polynomial method

• Alternative factoring method