7
QuizMultiple Choice

Introduction to Quadratic Functions

Question 7 • FL-1200700-Mathematics for College Algebra MIS

When the polynomial is written in standard form, what are the values of the leading coefficient and the constant?5x + 2 – 3x2

Answer
A
The leading coefficient is 5, and the constant is 2.
B
The leading coefficient is 2, and the constant is 5.
C
The leading coefficient is –3, and the constant is 2.
D
The leading coefficient is 2, and the constant is –3.

Explanation

Write the polynomial in descending powers of x: −3x² + 5x + 2. The leading coefficient is the coefficient of the highest-power term, −3x², so it is −3; the constant term, which has no x, is 2. Therefore, the correct choice is “The leading coefficient is −3, and the constant is 2.”

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