Question

1. fill in the chart for the expression below:

8 + 3z² + 10z + 19 + 4z
constants:
coefficients:
variables:
terms:
like terms:

Explanation:

Step1: Identify constants

Constants are terms without variables: $8, 19$

Step2: Identify coefficients

Coefficients are numbers multiplied by variables: $3, 10, 4$

Step3: Identify variables

Variables are the unknown symbols: $z$

Step4: List all terms

Terms are separated by + signs: $8, 3z^2, 10z, 19, 4z$

Step5: Identify like terms

Like terms share the same variable and exponent: $8$ & $19$; $10z$ & $4z$

Answer:

Constants: $8, 19$
Coefficients: $3, 10, 4$
Variables: $z$
Terms: $8, 3z^2, 10z, 19, 4z$
Like Terms: $8$ and $19$; $10z$ and $4z$