Step by step
The question
Question: name the terms, the coefficients and the constant of 10ab − 3a + 5.
10ab − 3a + 5
1 Split into terms
Terms are the parts between the + and − signs.
Each sign stays with the term after it.
So the terms are 10ab, −3a and 5.
= terms: 10ab, −3a, 5
Careful!
The minus sign goes with the term.
It is −3a, not 3a.
Careful: not 3a ✗
2 Name each part
A coefficient is the number in front of a letter: 10 for ab and −3 for a.
A constant has no letter: 5.
= coefficients: 10, −3 constant: 5
3 Check
Let's check: put the terms back together.
10ab plus −3a plus 5.
Adding a negative is taking away.
We get 10ab − 3a + 5 again.
So the answer is right!
10ab + (−3a) + 5 = 10ab − 3a + 5
Let's look back.
First: split into terms.
Then: name each part.
Last: check.
Answer
= coefficients: 10, −3 constant: 5