QQuestionMathematics
QuestionMathematics
"Fill in the gaps to factorize this expression:
3x+ 15 = 3(_+_)"
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:: Identify the common factor in the terms 3x and 15.
The common factor is 3.
Step 2:: Place the common factor in the parentheses.
\[ 3x + 15 = 3(\boxed{\;\;}_++\boxed{\;\;}_5) \]
Step 3:: Determine the values that complete the factorization.
In this case, those numbers are 1 and 3 since $1 \times 3 = 3$ and $1 + 3 = 4$.
To factorize the expression, we need to find two numbers that multiply to 15 and add up to x.
Step 4:: Fill in the gaps with the determined values.
\[ 3x + 15 = 3(x+ 3) \]
Final Answer
The factorized form of the expression is $3(x+ 3)$.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students