QuestionApril 16, 2026

Factor the trinomial: 3x^2+13x+14 Answer Attemptiout of square

Factor the trinomial: 3x^2+13x+14 Answer Attemptiout of square
Factor the trinomial:
3x^2+13x+14
Answer Attemptiout of
square

Solution
4.3(250 votes)

Answer

(3x + 7)(x + 2) Explanation 1. Identify factoring form Trinomial is in form ax^2 + bx + c. Look for two numbers whose product is a \cdot c = 3 \cdot 14 = 42 and sum is b = 13. 2. Find number pair Numbers: 6 and 7 satisfy 6 \cdot 7 = 42, 6 + 7 = 13. 3. Split middle term 3x^2 + 6x + 7x + 14 4. Group and factor 3x(x + 2) + 7(x + 2) 5. Factor common binomial (3x + 7)(x + 2)

Explanation

1. Identify factoring form <br /> Trinomial is in form $ax^2 + bx + c$. Look for two numbers whose product is $a \cdot c = 3 \cdot 14 = 42$ and sum is $b = 13$. <br />2. Find number pair <br /> Numbers: $6$ and $7$ satisfy $6 \cdot 7 = 42$, $6 + 7 = 13$. <br />3. Split middle term <br /> $3x^2 + 6x + 7x + 14$ <br />4. Group and factor <br /> $3x(x + 2) + 7(x + 2)$ <br />5. Factor common binomial <br /> $(3x + 7)(x + 2)$
Click to rate:

Similar Questions