Sign Rules in Factoring Trinomials

The video tutorial explains the sign rules for factoring trinomials. It covers how to determine the signs of factors based on the last sign of the trinomial. If the last sign is positive, the factors will have like signs, either both positive or both negative, determined by the middle term. If the last sign is negative, the factors will have different signs, one positive and one negative. The tutorial includes practice problems to reinforce these concepts and highlights common errors in sign determination.

What does the last sign of a trinomial indicate about the signs of the factors?

• It determines whether the factors are both positive or both negative.

• It indicates whether the trinomial can be factored or not.

• It shows the highest degree of the polynomial.

• It provides the coefficients of the trinomial.

If the last sign of a trinomial is positive, what can be inferred about the signs of the two numbers that multiply to give the trinomial?

• Cannot determine the signs without more information.

• Both numbers must be negative.

• One number is positive and the other is negative.

• Both numbers must be positive.

How do you determine the signs of the factors when the last sign of the trinomial is positive?

• Look at the sign of the first term.

• Always choose two positive signs.

• The signs of the factors are not related to the last sign.

• Check the sign of the middle term to decide.

If the last sign of a trinomial is positive and the middle term is negative, what are the signs of the factors?

• Cannot determine without further information

• One positive and one negative

• Both negative

• Both positive

If the last sign of a trinomial is positive, which of the following is a possible set of signs for the factors?

• Both negative

• Both positive

• One positive and one negative

• Both positive or both negative

When the last sign of a trinomial is negative, what must be true about the signs of the factors?

• Both signs are positive.

• Both signs are negative.

• The signs are identical but can be either positive or negative.

• The signs are different: one positive, one negative.

In a trinomial where the last sign is negative, what is unnecessary to check?

• The coefficients of the terms

• The degree of the polynomial

• The sign of the middle term

• The sign of the first term

What should be the signs of the factors if the last sign of a trinomial is negative?

• One positive and one negative

• Cannot determine the signs

• Both positive

• Both negative

What does the practice of determining signs based on the last sign of a trinomial help to develop?

• Understanding of polynomial degrees

• Skill in simplifying expressions

• Accuracy in factoring trinomials

• Ability to solve quadratic equations

What is the common error in factoring trinomials that understanding sign rules can help avoid?

• Sign errors

• Degree errors

• Variable errors

• Coefficient errors