Step by step
The question
Question: name the terms, the coefficients and the constant of −y² − 6y + 11.
−y2 − 6y + 11
1 Split into terms
Terms are the parts between the + and − signs.
Each sign stays with the term after it.
So the terms are −y², −6y and 11.
= terms: −y2, −6y, 11
Careful!
The minus sign goes with the term.
It is −y², not y².
Careful: not y² ✗
2 Name each part
No number in front means 1.
−y² is minus 1 times y.
−y² = −1 × y²
A coefficient is the number in front of a letter: −1 for y² and −6 for y.
A constant has no letter: 11.
= coefficients: −1, −6 constant: 11
3 Check
Let's check: put the terms back together.
−y² plus −6y plus 11.
Adding a negative is taking away.
We get −y² − 6y + 11 again.
So the answer is right!
−y² + (−6y) + 11 = −y² − 6y + 11
Let's look back.
First: split into terms.
Then: name each part.
Last: check.
Answer
= coefficients: −1, −6 constant: 11