ACTIVITY 1: Roots of Polynomial Equations A. Complete the table below. Verify that the given numbers in the last column of the table are rational roots of the corresponding polynomial equation. Polynomial Equation Leading Roots Constant Coelficient Term 4. 6x-11x-94x2-11x+30 0 5. 4x-16x+ 17x + x-6=0 6.8x-14x3-41x2+35x-6 0 16 = 0

Q: A quadratic polynomial y = 4x2 +7x -3 has roots p and q. Find a quadratic g(x) = x² + ax +B with…

A:

Q: Find a polynomial function of degree 3 with real coefficients that has the given zeros

A:

Q: x -2|-1 0 1 2 yl-13-6 -5 -4|3 Points (x, y) given in the table above are all on the polynomial…

A: We are give n the values of a polynomial y=P(x) over different vales of x.  The roots of a function…

Q: A. Directions: Match the following polynomial functions into its standard/factored forms. Numbers 6-…

A: 1) Given: fx=2-x4+8x                fx=-x4+8x+2 Answer B is correct 2) Given: fx=x+5x+1…

Q: A fourth degree polynomial equation is shown below. (2x? +5x-12)(2x²+13x+6)=0 Which of the choices…

A: Given the equation of polynomial is 2x2+5x-122x2+13x+6=0

Q: A monic cubic polynomial has zeros 2 and (-1)/2±√11/2 i. Find the polynomial.

A: Given zeros are 2, -12±112i let a=-2, b=-12+112i, c=-12-112i let x be the variable of the…

Q: Then what will be the profit after the tenth year?

A: The equation relating to profit and the number of years is a cubic polynomial  Let P(t) represents…

Q: The degree of a polynomial function ) IS The function has roots of multiplicity 2 at x = -3 and x =…

A: Topic = Polynomials

Q: If any of the factors of a polynomial function are linear, then which of the following is not true?…

A: Given: If any of the factors of a polynomial function are linear, then which of the following is not…

Q: Determine the exact equation for the polynomial described below. Sketch and label the graph. A…

A: We need to find a function with x-intercepts at 4 (order 2) and -2 (order 3) that passes through the…

Q: The roots of the charactericte polynomial of o linear, homogeneous,constnt coefficdent equation as…

A: we have given root of characteristic polynomial of a linear ,homogeneous,constant coefficient…

Q: The graph of a polynomial f(x) of degree 3 is crossing the x axis at the point (4.0) and it is…

A: Let us consider the cubic polynomial as     f(x)=ax3+bx2+cx+d putting the given points in polynomial…

Q: 33. r(x)= x+7x'-41x +33x 34. d(x) x-x'-18x'+18x +81x-81 35. P(x)= x-6x'+28x-40 36. g(x)= x-x-16x'…

A:

Q: Review question The polynomial degree 3, p(x), has a root of multiplicity 2 at x=1 and a root of…

A: polynomial

Q: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as…

A:

Q: 4- 3- 21 3 i0 2 45 1. "2- Determine the following characteristics and drag the appropriate response…

A: Graph of the function is given, we have to find its characteristic.

Q: an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 4,−4,-3.…

A:

Q: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as…

A:

Q: If a third degree polynomial has a lone x-intercept at x=a , discuss what this implies about the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Zeros: - 4, - 1,3, 4; degree: 4

A:

Q: ACTIVITY 4: Completing the List of Roots of Polynomlal Equations A. One of the roots of the…

A: Solutions

Q: A quartic polynomial f(x) has 2 rational roots at (2, 0) and (-1, 0) and a root at (-1+5.0). If…

A: We have given roots 2,-1 of quartic polynomial, then quartic polynomial can be written as…

Q: Zeros x=_13,-7 Degree n=2 Write the second degree polynomial as a multiple of two of these factors…

A: The zeros of the polynomial are : r1 =-13 r2 =-7 To evaluate : The second degree polynomial as a…

Q: k(u) is a degree 3 polynomial with k(0)=-21.24 and zeros 4 and 3i. Find an equation for k with only…

A:

Q: (b) Soundings of the depth of the river are made at equal intervals of 1 m across the river as shown…

A: Lagrange interpolation is a method which uses a set of arbitrary data points to find a polynomial…

Q: 15 10 -6 -5 -4 B -2 1 2 3 4 6 -5 -10 -15 Determine the equation of the polynomial, f(r), of minimum…

A:

Q: A cubic function is a polynomial of degree 3; that is, it hasthe form f(x)  =ax3 + bx2 +cx + d ,…

A: For finding the critical numbers, at first we find the derivative of function and then set it equal…

Q: A quadratic polynomial y = 4x2 + 7x – 3 has roots p and q. Find a quadratic g(x) = x2 + ax + B with…

A:

Q: 4. Aquadric surface A. must have either x², y², or z² or a combination of those, on its general…

A: To Determinewhich of the following  is correct.A quadric surfaceA) Must have either x2, y2 or z2 or…

Q: Descartes's Rule of Signs Suppose P(x) = 0 is a polynomial equation with real coefficients and with…

A:

Q: y -13 -6 -5 -4 3 Points (x, y) given in the table above are all on the polynomial function y = P(x).…

A: Topic- root of polynomial

Q: Learning Task 2. Find the roots of the following polynomial equations given one of its roots on the…

A:

Q: A. Complete the table below. Verify that the given numbers in the last column of the table are…

A:

Q: Quèstion 1 Classify the polynomial as constant, linear, quadratic, cubic, or quartic, and determine…

A: Given that: f(x)=9x2-11+0.12x-5x3

Q: B. Consider the given polynomial functions. Fill in the blanks with the correct answers. Polynomial…

A: Topic:- polynomial function

Q: Find an nth-degree polynomial function with real coefficients, a leading coefficient of 1, and…

A:

Q: 8. Form a polynomial function with real coefficients having a degree of 4 and the zeros: -3, 1, 2i.…

A: Given,            A polynomial function with real coefficients having a degree of 4 and the zeros:…

Q: 1. The polynomial function f has exactly one positive zero. Approximate the zero correct to two…

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: 2. Write the equations a. Cubic polynomial, of functions satisfying the given properties, in…

A: Given that Since In the cubic polynomial, x intercepts at -13and -2, y intercept at 10 Since cubic…

Q: A fourth degree polynomial equation is shown below. (2x² +5x-12)(2x²+13x+6) =0 Which of the choices…

A: The given polynomial equation is (2x2+5x-12)(2x2+13x+6)=0

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

A:

Q: alpha and beta are zeros of the quadratic polynomial x square-6x+y find the value of y if 3 alpha+2…

A: alpha and beta are zeros of the quadratic polynomial x square-6x+y find the value of y if 3 alpha+2…

Q: Form a polynomial whose real zeros and degree are given.   ​Zeros: −3​, −2​, 2​, 4​; degree: 4…

A: Given that the zeros are −3​, −2​, 2​, 4​ So, the factors are (x+3), (x+2), (x-2) and (x-4).…

Q: his a degree 5 polynomial that passes through the origin, has zeros i and 4 – i, and h( – 1) = –…

A: Step:-1 Complex -conjugate Theorem:-  Let P(x) be a polynomial with real coefficient and a+i b∈ℂ  be…

Q: B. Complete the table below: Polynomial Equations Degree Real Roots of an Equation Number of Real…

A: Solve the problem by finding the real roots.   NOTE :: As per our Expert guidelines we are supposed…

Q: #37, #41, and #44

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 3. True or False a. A polynomial of degree 5 has 6 real and imaginary zeros. b. The opening of an…

A:

Q: ACTIVITY 1: Roots of Polynomial Equations A. Complete the table below. Verify that the given numbers…

A:

Q: Activity no. 6 Find the polynomial equations in the given roots. Polynomials Equations Given roots…

A: we have to find equation of polynomials where roots are given.