Question

question 5 of 10
which of the following is a trinomial with a constant term?

a. ( x )

b. ( x^3 + y )

c. ( x + 2y + 10 )

d. ( y^6 + 8y^3 + 64y )

Explanation:

Step1: Recall trinomial and constant term definitions

A trinomial has 3 terms. A constant term has no variable (e.g., 5, -3, 10).

Step2: Analyze Option A

Option A: \( x \) has 1 term (monomial), no constant term. Eliminate A.

Step3: Analyze Option B

Option B: \( x^3 + y \) has 2 terms (binomial), no constant term. Eliminate B.

Step4: Analyze Option C

Option C: \( x + 2y + 10 \) has 3 terms (trinomial), and 10 is a constant term.

Step5: Analyze Option D

Option D: \( y^6 + 8y^3 + 64y \) has 3 terms (trinomial), but all terms have \( y \) (no constant term). Eliminate D.

Answer:

C. \( x + 2y + 10 \)