Factoring Trinomials with a=1

What is the first step in factoring trinomials of the form x^2 + bx + c?

• List the factor pairs of c

• Determine the sum of b

• Write the factored form

• Multiply the factors

For x^2 + 7x + 12, what are the correct factors of c that add up to b?

• 4 and 8

• 3 and 4

• 2 and 6

• 1 and 12

When factoring trinomials with a negative c value, what must be true about the factors?

• One positive and one negative, with the negative being larger

• One positive and one negative, with the positive being larger

• Both must be negative

• Both must be positive

How do you determine the correct sign for factors when c is negative?

• Both factors must be negative

• Both factors must be positive

• One factor must be positive and the other negative

• The sign of the factors is irrelevant

For x^2 + 6x + 9, which statement is true?

• It is a prime trinomial

• It can be factored as (x + 3)^2

• It cannot be factored

• It has no real solutions

When c is positive and b is negative in a trinomial, what can be inferred about the factors?

• It is a prime trinomial

• One factor is positive, and the other is negative

• Both factors are negative

• Both factors are positive

For a trinomial with c = 10 and b = 7, which factor pair of c adds up to b?

• 1 and 10

• 2 and 5

• 2 and 8

• 3 and 7

For x^2 + 4x + 4, what is the factored form?

• x + 2

• (x + 4)^2

• (x + 2)^2

• x + 4

What is the factored form of x^2 - 2x - 15?

• x + 3 and x - 5

• x - 3 and x + 5

• (x - 5)^2

• Prime trinomial

What does a prime trinomial mean?

• It can only be solved by prime factorization

• It can be factored into prime numbers

• It cannot be factored

• It has a prime number as c