Question

I am a trinomial whose leading coefficient is -3 when I'm put in standard form:

A.
`2xy-3+5xy^(2)`
B.
`3x^3-3x-3`
C.
`4x^2-3x^4+x`
D.
`x^5y-3x^2y-xy`

Answer 1

C. 4x² - 3x⁴ + x

General Formulas and Concepts:

Algebra I

• Terms/Coefficients
• Standard Form: Largest degree to smallest degree
• Leading Coefficient: Constant multiplied to largest degree

Explanation:

Step 1: Define

A. 2xy - 3 + 5xy²

B. 3x³ - 3x - 3

C. 4x² - 3x⁴ + x

D. x⁵y - 3x²y - xy

Step 2: Rewrite

Rewrite each trinomials into standard form.

A. 5xy² + 2xy - 3

B. 3x³ - 3x - 3

C. -3x⁴ + 4x² + x

D. x⁵y - 3x²y - xy

Step 3: Identify LC

A. has a leading coefficient of 5

B. has a leading coefficient of 3

C. has a leading coefficient of -3 (our answer)

D. has a leading coefficient of 1