Simplify a trigonometric expression by factoring

What are the components of a quadratic expression that the teacher identifies for factoring?

• A square term, a linear term, and a constant

• Two linear terms and a constant

• A cubic term and a linear term

• A square term and a cubic term

When factoring a quadratic trinomial, what must the selected numbers do?

• Multiply to give the square term and add to give the constant

• Add to give the square term and multiply to give the constant

• Add to give the constant term and multiply to give the linear coefficient

• Multiply to give the constant term and add to give the linear coefficient

Which combination of numbers is considered when factoring the expression 2X^2 + X - 3?

• ±3 and ±4

• ±1 and ±2

• ±2 and ±3

• ±1 and ±3

How does the teacher determine the correct signs for the terms in the factored form?

• By ensuring the constant term is negative

• By ensuring the linear term is negative

• By ensuring the middle term is positive

• By ensuring the square term is positive

What is the final factored form of the expression discussed by the teacher?

• (2X + 3)(X - 1)

• (2X - 3)(X + 1)

• (2X + 1)(X - 3)

• (2X - 1)(X + 3)