How do you find the degree, leading term, the leading ... - Socratic
2018年6月15日 · 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 …
What is the degree, type, leading coefficient, and constant term of
2017年11月21日 · 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
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.
What is the leading term, leading coefficient, and degree of this ...
2015年9月16日 · Answer link. Leading term: 5x^3 Leading coefficient: 5 Degree: 3 To determine the leading coefficient and leading term, it is necessary to write the expression in canonical form: 5x^3+8x^2+9 The degree is the largest exponent value of the variable in any term of the expression (for an expression with multiple variables it is the maximum of the ...
What is the leading term, leading coefficient, and degree of this ...
2018年4月11日 · Leading term sqrt(2)x^2, Leading coefficient: sqrt2, Degree 2. f(x) = x^2(sqrt2) + x +5 We can write this as: f(x) = sqrt2x^2 + x +5 This is a quadratic in standard form: ax^2+bx +c Where: a=sqrt2, b=1 and c=5 Hence, Leading term: sqrt(2)x^2 and leading coefficient: sqrt2. Also, a quadratic function is of degree 2, since the leading term is of x to the power 2
What is the leading term, leading coefficient, and degree of this ...
2015年9月13日 · The leading term of a polynomial is the term of highest degree. The leading coefficient of a polynomial is the coefficient of the leading term.
How do you find the degree, leading term, the leading ... - Socratic
The leading term is the term with x raised to the highest exponent, in this case it's -3x^2. The degree is the highest power x is raised to, in this case 2, the leading coefficient is the coefficient or the constant part of the leading term, -3. The constant term is the term that is not multiplied by x, 4, and since this is a concave down parabola (all degree two polynomials are parabolas and ...
What is the leading term, leading coefficient, and degree of
2015年9月17日 · 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
What is the leading term, leading coefficient, and degree of this ...
2015年9月19日 · 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) …
What is the leading term, leading coefficient, and degree of this ...
2015年9月27日 · Leading term: 3x^2 Leading coefficient: 4 Degree: 2 The degree of a polynomial is the largest exponent of a variable for any term in the polynomial (for polynomials in more than one variable it is the largest sum of exponents for any term). The leading term is the term with the largest degree. Note that the leading term is not necessarily the ...