Want this question answered?
The degree of a polynomial is merely the value of the highest power in the polynomial. In this case, the degree is 6 because of 4x6.
I'm going to assume the polynomial in question is 2x7+(3-2x3)+(5x8-4x) Expanding out the polynomial: 2x7+3-2x3+5x8-4x Order the terms by powers of x: 5x8+2x7-2x3-4x+3 Since 8 is the highest power of x, the degree of the polynomial is 8.
The degree is the highest power of the variable that appears in it.(x2 + x + 9) is a second degree polynomial(Q4 - 72) is a fourth degree polynomial( z ) is a first degree monomialSo the degree of a polynomial in one variable is the highest power of the variable.For example, [ 2x3 - 7x ] has degree 3.The degree of a polynomial in two or more variables is the greatest sum of theexponents in any single term.For example, [ 5m3 + m2n - mn2 ] has degree 4.And a degree of a monomial is the sum of the exponents of its variables.For example, [ 4a2b3 ] has degree 5.
First look at the degree of each term: this is the power of the variable. The highest such number, from all the terms in the polynomial is the degree of the polynomial. Thus x2 + 1/7*x + 3 has degree 2. x + 7 - 2x3 + 0.8x5 has degree 5.
For a single term, the "degree" refers to the power. The coefficient is the number in front of (to the left of) the x.
9x5 -- 2x3 -- 8y+ 3This polynomial has four terms, including a fifth-degree term, a third-degree term, a first-degree term, and a constant term.This is a fifth-degree polynomial.4b4 + 9w2 + zThis polynomial has three terms, including a fourth-degree term, a second-degree term, and a first-degree term. There is no constant term.This is a fourth-degree polynomial.a one-term polynomial, such as 6x or 3x^2, may also be called a "monomial" ("mono" meaning "one")a two-term polynomial, such as 2x + f or 4x2 -- 7, may also be called a "binomial" ("bi" meaning "two")a three-term polynomial, such as 5x + h + s or x4 + 7d2 -- 4, may also be called a "trinomial" ("tri" meaning "three")hint: ^ means to the raised poweri got a little help with this but i hope this is what you were looking for?
9x5 -- 2x3 -- 8y+ 3This polynomial has four terms, including a fifth-degree term, a third-degree term, a first-degree term, and a constant term.This is a fifth-degree polynomial.4b4 + 9w2 + zThis polynomial has three terms, including a fourth-degree term, a second-degree term, and a first-degree term. There is no constant term.This is a fourth-degree polynomial.a one-term polynomial, such as 6x or 3x^2, may also be called a "monomial" ("mono" meaning "one")a two-term polynomial, such as 2x + f or 4x2 -- 7, may also be called a "binomial" ("bi" meaning "two")a three-term polynomial, such as 5x + h + s or x4 + 7d2 -- 4, may also be called a "trinomial" ("tri" meaning "three")hint: ^ means to the raised poweri got a little help with this but i hope this is what you were looking for?
(-2x3 - 2x2 + 12x) = -2x (x2 + x - 6) = -2x (x + 3) (x - 2)
Strictly we do not classify polynomials by the number of terms but by the highest power of the variable (its degree).For example, if x is the variable then a polynomial with highest power...... x0 (degree 0) is a constant e.g. 4x0 = 4... x1 (degree 1) is linear e.g. 2x1 + 5 = 2x + 5... x2 (degree 2) is a quadratic e.g. 3x2 - 2x + 1... x3 (degree 3) is a cubic e.g. 2x3 - 3x2 - 2x + 1... x4 (degree 4) is a quartic e.g. 7x4 + 2x3 - 3x2 - 2x + 1(degree 5) quintic, (degree 6) sextic, (degree 7) septic, (degree 8) octic,...Although it appears as if the degree of a polynomial is always one less than the number of terms, in general this not the case. For example, x3 - 9 is cubic with only 2 terms or 4x8 is an octic with only one term.
9x5 -- 2x3 -- 8y+ 3This polynomial has four terms, including a fifth-degree term, a third-degree term, a first-degree term, and a constant term.This is a fifth-degree polynomial.4b4 + 9w2 + zThis polynomial has three terms, including a fourth-degree term, a second-degree term, and a first-degree term. There is no constant term.This is a fourth-degree polynomial.a one-term polynomial, such as 6x or 3x^2, may also be called a "monomial" ("mono" meaning "one")a two-term polynomial, such as 2x + f or 4x2 -- 7, may also be called a "binomial" ("bi" meaning "two")a three-term polynomial, such as 5x + h + s or x4 + 7d2 -- 4, may also be called a "trinomial" ("tri" meaning "three")hint: ^ means to the raised poweri got a little help with this but i hope this is what you were looking for?
9x5 -- 2x3 -- 8y+ 3This polynomial has four terms, including a fifth-degree term, a third-degree term, a first-degree term, and a constant term.This is a fifth-degree polynomial.4b4 + 9w2 + zThis polynomial has three terms, including a fourth-degree term, a second-degree term, and a first-degree term. There is no constant term.This is a fourth-degree polynomial.a one-term polynomial, such as 6x or 3x^2, may also be called a "monomial" ("mono" meaning "one")a two-term polynomial, such as 2x + f or 4x2 -- 7, may also be called a "binomial" ("bi" meaning "two")a three-term polynomial, such as 5x + h + s or x4 + 7d2 -- 4, may also be called a "trinomial" ("tri" meaning "three")hint: ^ means to the raised poweri got a little help with this but i hope this is what you were looking for?
Since there is nothing following, none of them!