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Degree: 8 Leading term: 3x^5 Leading Coefficient: 3 Constant: 1 End behavior: See below in blue The degree is the sum of the exponents on all terms. Our exponents are 5, 2 and 1, which sum up to 8. This is the degree of our polynomial g(x). The leading term of a polynomial is just the term with the highest degree, and we see this is 3x^5. The leading coefficient is just the number multiplying ...
Standard form simply refers to the format of a mathematical expression where the terms are arranged by decreasing order of degree. Where the degree is determined by the exponent value of the variable of each term. For quadratic equations the standard form is. ax^2 + bx + c. Where. ax^2 has a degree of 2. bx has a degree of 1.
Any term that doesn't have a variable in it is called a "constant" term. types of polynomials depends on the degree of the polynomial. x5 = quintic. x4 = quadratic. x3 = cubic. x2 = quadratic. Answer link. degree= 0 type= constant leading coefficient= 0 constant term= -6 -6 is the product of this equation therefore there are no constant term or ...
What is the leading term, leading coefficient, and degree of this polynomial # F(X)= 5/6x+3x^2-4.3x^3-7x^4#? Algebra Polynomials and Factoring Polynomials in Standard Form 1 Answer
The leading term of a polynomial is the term with the highest degree. The leading coefficient of a polynomial is the coefficient of the leading term. The degree of a polynomial is the highest degree of its terms. Hence,leading term,leading coefficient,degree of the given polynomial is 3x^4,3,4 respectively. very nicely explained here
The leading coefficient is the coefficient of the hightest exponent of the variable. The constant term is the term not multiplied by the variable. See explanation. The degree of this polynomial is 5, the leading coefficient is -2 and the constant term is 9. The degree of a polynomial is the highest exponent with a non-zero coefficient.
Leading term: -10y^4 Leading coefficient: -10 Degree is fourth-degree or quartic First, rewrite the polynomial in standard form (highest exponents first): -10y^4+18y^2+4y+8 The leading term is the first term, so -10y^4 The leading coefficient is the number multiplied to y in the first term, so -10 The degree is the highest exponent, so 4. We say this is a fourth-degree or quartic polynomial.
See below: Let's rearrange this polynomial to standard form with descending degree. We now have -4a^7+8a^3+4a^2-a The leading term is simply the first term. We see that this is -4a^7. The leading coefficient is the number in front of the variable with the highest degree. We see that this is -4. The degree of a polynomial is simply the sum of the exponents on all terms. Recall that a=a^1 ...
Answer link. A second degree polynomial is a polynomial P (x)=ax^2+bx+c, where a!=0 A degree of a polynomial is the highest power of the unknown with nonzero coefficient, so the second degree polynomial is any function in form of: P (x)=ax^2+bx+c for any a in RR- {0};b,c in RR Examples P_1 (x)=2x^2-3x+7 - this is a second degree polynomial P_2 ...
Leading term: 3x^6 Leading coefficient: 3 Degree of polynomial: 6 -2x-3x^2-4x^4+3x^6+7 Rearrange the terms in descending order of powers (exponents). 3x^6-4x^4-3x^2-2x+7 The leading term (first term) is 3x^6 and the leading coefficient is 3, which is the coefficient of the leading term. The degree of this polynomial is 6 because the highest power (exponent) is 6.