Find the Degree, Leading Term, and Leading Coefficient (5a)x-17x^2+14a

$(5 a) x - 17 x^{2} + 14 a$

Step 1

Multiply $5 a$ by $x$ .

$5 a x - 17 x^{2} + 14 a$

Step 2

The degree of a polynomial is the highest degree of its terms.

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$5 a x \to 2$

$- 17 x^{2} \to 2$

$14 a \to 1$

The largest exponent is the degree of the polynomial.

$2$

Step 3

The leading term in a polynomial is the term with the highest degree.

$5 a x$

Step 4

The leading coefficient of a polynomial is the coefficient of the leading term.

The leading term in a polynomial is the term with the highest degree.

$5 a x$

The leading coefficient in a polynomial is the coefficient of the leading term.

$5$

Step 5

List the results.

Polynomial Degree: $2$

Leading Term: $5 a x$

Leading Coefficient: $5$