What is the leading term, leading coefficient, and degree of this polynomial?
F(x) = 5 + 2x + 3x^2 + 4x^3?
Also is f(x) constant, linear, quadratic, cubic, or quartic
2007-04-01 14:44:03 · 5 answers · asked by TICKLES 1 in Science & Mathematics ➔ Mathematics
The leading term of a polynomial is the term of highest degree, therefore it would be: 4x^3
The leading coefficient of a polynomial is the coefficient of the leading term, therefore it would be: 4
The degree of a polynomial is the degree of the leading term, therefore it would be: 3
Since the degree is 3, it would be a cubic function.
2007-04-01 14:50:03 · answer #1 · answered by shih rips 6 · 0⤊ 0⤋
Leading Coefficient
2016-10-06 07:13:57 · answer #2 · answered by ? 4 · 0⤊ 0⤋
The leading term is the term with the highest degree. In this case, that would be 4x^3, since it has the highest degree. (In case you forgot, a term is nth degree when the x is raised to the nth power). Therefore, the leading coefficient is 4.
You probably figured this out, but the polynomial is third degree (Any polynomial is the same degree as its leading term). All third degree polynomials, including this one, is a cubic equation.
2007-04-01 14:50:28 · answer #3 · answered by dennismeng90 6 · 1⤊ 0⤋
it is cubic.
4x^3 is the leading term,4 leading coefficient and 3 the degree
2007-04-01 14:52:49 · answer #4 · answered by santmann2002 7 · 1⤊ 0⤋
the degree of the polynomial is 3. the degree is the highest exponent..
f(x) is cubic becasue it is to the 3rd power.
leading term is 4x^3. leading term is the term with the highest coeficient.
leading coeficient is 4. leading coeficient is the constant of the term with the higest coeficient.
2007-04-01 14:53:52 · answer #5 · answered by Anonymous · 1⤊ 0⤋