Question

select the correct answer from each drop-down menu.

factor the trinomial.

the factors of (m^2 + 12m + 35) are ( choose an answer ) and ( choose an answer ).

Explanation:

⚡ Using what you learned: factoring trinomials

Step 1: Identify coefficients

We need to factor the quadratic expression:

$$ m^2 + 12m + 35 $$

Identify the values of \( b \) and \( c \):

• \( b = 12 \)
• \( c = 35 \)

Step 2: Find two numbers

Find two numbers that multiply to \( 35 \) and add up to \( 12 \):

• Factors of \( 35 \): \( 5 \times 7 = 35 \)
• Sum of factors: \( 5 + 7 = 12 \)

The two numbers are \( 5 \) and \( 7 \).

Step 3: Write the factored form

Write the expression as a product of binomials:

$$ (m + 5)(m + 7) $$

Answer:

The factors of \( m^2 + 12m + 35 \) are \( m + 5 \) and \( m + 7 \).