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Consider the polynomial below. 7x2 - 2x + 1 (a) Determine the number of terms. terms...
Classify the polynomial as constant, linear, quadratic, cubic, or quartic, and determine the leading term, the...
Classify the polynomial as constant, linear, quadratic, cubic, or quartic, and determine the leading term, the leading coefficient, and the degree of the polynomial. g(x) -6x 5 The polynomial is OA. constant. OB. linear. C. quadratic. OD. quartic O E. cubic. What is the leading term of the polynomial? O -6x3 The leading coefficient of the polynomial is The degree of the polynomial is
Determine if each of the following is polynomial. If so, find the leading coefficient and degree....
Determine if each of the following is polynomial. If so, find the leading coefficient and degree. If not, explain why. a) r(t)=5t^-1 b) f(x)=7x+9 c) m(x)=6x+x^-3+15 d) h(x)= (3x-9)/(2x+7) e) t(x)=(2/3)x^2-8x+13 f) y(x)=3x+4ROOTx+11
Determine whether the following function is a polynomial function. If the function is a polynomial function,...
Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not tell why not. Write the polynomial in standard for FOR = 8x?-o? Determine whether Fx) is a polynomial or not. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A It is not a polynomial because the variable x is raised to the power, which is not a...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and all turning points are represented on the graph. 7) 7) - 4+ 3+ a. Determine the minimum degree of the polynomial based on the number of tuming points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. c. Approximate the real zeros of the function, and determine...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and all turning points are represented on the graph 7) 7) 2 a. Determine the minimum degree of the polynomial based on the number of turning points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even c. Approximate the real zeros of the function, and determine if their...
(a) Find the third-degree Taylor polynomial for f() = x3 +7x2 - 5x + 1 about...
(a) Find the third-degree Taylor polynomial for f() = x3 +7x2 - 5x + 1 about 0. What did you notice? (b) Use a calculator to calculate sin(0.1)cos(0.1). Now, using the second-order Taylor polynomial, give an estimate for sin(0.1) cos (0.1). Estimate the same expression using the third-order Taylor polynomial, and compare the two approximations. Note that your estimates should be rounded to seven digits after the decimal place.
(a) Find the third-degree Taylor polynomial for f() = x3 +7x2...
A student is given the following polynomial and is asked to answer questions about it X5...
A student is given the following polynomial and is asked to answer questions about it X5 - 198X+5x12+ 4 - 2x 1. The polynomial contains how many terms? 2 List all of the coefficients of the polynomial 3. What is the polynomial's constant? 4. What is the leading coefficient of the polynomial? 5. What is the degree of the polynomial? Here are the student's answers 1. The polynomial contains 5 terms 2. The coefficients are 198,5, 4-2 3. The constant...
Identify the degree, leading term and leading coefficient of each polynomial function
1. Identify the degree, leading term and leading coefficient of each polynomial function.A. f(x)= x(x+1)(3x+1)(x-2)B. f(x)= -16+3x^4 - 9x^2 - x^6 + 4x^82. Describe the end behavior of a ninth-degree polynomial function with a negative leading coefficient.
w the graph of a sixth taph of a sixth degree polynomial below, as the following...
w the graph of a sixth taph of a sixth degree polynomial below, as the following a. Is the leading coefficient positive or negative? b. State the end behavior of the function: as + 0, y → ? and as 1 -0, y →? c. State each zero (-intercept) in point form with its multiplicity. Note the overall degree of the polynomial is stated above. d. State the y-intercept in point form. e. Find a possible formula for the graph...
I need help with these questions. 1. Answer the questions below. (a) For the polynomial P(x)...
I need help with these questions.
1. Answer the questions below. (a) For the polynomial P(x) = 3.r* - 2x2 + 2x – 4, identify the following. i. (2 points) The degree of P ii. (2 points) The constant term of P iii. (2 points) The leading coefficient of P iv. (4 points) The possible rational zeros of P (b) (5 points) Find the quotient and remainder of when Q(x) = * - 223 +22 - 3 is divided by...
Classify the polynomial as constant, linear, quadratic, cubic, or quartic, and determine the leading term, the leading coefficient, and the degree of the polynomial. g(x) -6x 5 The polynomial is OA. constant. OB. linear. C. quadratic. OD. quartic O E. cubic. What is the leading term of the polynomial? O -6x3 The leading coefficient of the polynomial is The degree of the polynomial is
Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not tell why not. Write the polynomial in standard for FOR = 8x?-o? Determine whether Fx) is a polynomial or not. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A It is not a polynomial because the variable x is raised to the power, which is not a...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and all turning points are represented on the graph. 7) 7) - 4+ 3+ a. Determine the minimum degree of the polynomial based on the number of tuming points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. c. Approximate the real zeros of the function, and determine...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and all turning points are represented on the graph 7) 7) 2 a. Determine the minimum degree of the polynomial based on the number of turning points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even c. Approximate the real zeros of the function, and determine if their...
(a) Find the third-degree Taylor polynomial for f() = x3 +7x2 - 5x + 1 about 0. What did you notice? (b) Use a calculator to calculate sin(0.1)cos(0.1). Now, using the second-order Taylor polynomial, give an estimate for sin(0.1) cos (0.1). Estimate the same expression using the third-order Taylor polynomial, and compare the two approximations. Note that your estimates should be rounded to seven digits after the decimal place.
(a) Find the third-degree Taylor polynomial for f() = x3 +7x2...
A student is given the following polynomial and is asked to answer questions about it X5 - 198X+5x12+ 4 - 2x 1. The polynomial contains how many terms? 2 List all of the coefficients of the polynomial 3. What is the polynomial's constant? 4. What is the leading coefficient of the polynomial? 5. What is the degree of the polynomial? Here are the student's answers 1. The polynomial contains 5 terms 2. The coefficients are 198,5, 4-2 3. The constant...
w the graph of a sixth taph of a sixth degree polynomial below, as the following a. Is the leading coefficient positive or negative? b. State the end behavior of the function: as + 0, y → ? and as 1 -0, y →? c. State each zero (-intercept) in point form with its multiplicity. Note the overall degree of the polynomial is stated above. d. State the y-intercept in point form. e. Find a possible formula for the graph...
I need help with these questions.
1. Answer the questions below. (a) For the polynomial P(x) = 3.r* - 2x2 + 2x – 4, identify the following. i. (2 points) The degree of P ii. (2 points) The constant term of P iii. (2 points) The leading coefficient of P iv. (4 points) The possible rational zeros of P (b) (5 points) Find the quotient and remainder of when Q(x) = * - 223 +22 - 3 is divided by...
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