Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 19, 2024

Determine the properties of the polynomial $1+7x^2$ , including the constant term, leading term, and leading coefficient.

STEP 1

Assumptions
1. The given expression is a polynomial.
2. The expression is $1 + 7x^2$ .
3. We need to identify the constant term, the leading term, and the leading coefficient of the polynomial.

STEP 2

Identify the constant term of the polynomial. The constant term is the term without a variable.
$Constant\, term = 1$

STEP 3

Identify the leading term of the polynomial. The leading term is the term with the highest power of the variable.
$Leading\, term = 7x^2$

STEP 4

Identify the leading coefficient of the polynomial. The leading coefficient is the coefficient of the leading term.
$Leading\, coefficient = 7$
The expression represents a polynomial with 2 terms. The constant term is 1, the leading term is $7x^2$ , and the leading coefficient is 7.

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