A polynomial function P is given. P(x) = −x3 + 5x2 + 14x (a) Express the function P in factored form?

Q: [K7] Fully factor the function x* – x3 – 11x2 + 9x + 18. Provide a full solution that - includes the…

A: According to the factor theorem for a polynomial, if x=c is a solution of the polynomial f(x)=0,…

Q: Factor the polynomial. 7) Factor f(x) = 6x³ + 31x² - 29x + 6 given that %3D is a zero. 3

A: Given polynomial is : fx=6x3+31x2-29x+6 13 is one of the zeroes To factor the polynomial.

Q: Find the zeros of the polynomial function. State the multiplicity of each zero. (Enter your answers…

A: The objective is to find the zeros of the polynomial Px=x5+10x4+40x3+80x2+80x+32

Q: A fourth degree polynomial equation is shown below. (4x2 - 8x - 5) (3x² – 7x-6)=0 Which of the…

A: 4x2-8x-53x2-7x-6=0

Q: consider the polynomial function p(x)=(3x^2-5x-2)(x-5)(x^2-4).  A) what is the degree of the…

A: Given:         p(x)=(3x2−5x−2)(x−5)(x2−4)

Q: 6. a. P(x)= 6x - 7x –12x +3x+2 a zero of P(x)= 6x* - 7x -12x + 3x+2? Show why or why not.

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

Q: The solid box has a dimension of (2x + 7)cm by (2x + 3)cm by (3x + 4) cm. (a). Find the polynomial…

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Q: (a) Draw the graph of the polynomial p(x) = x2 – 7x + 12, then find its zeroes from the graph.

A: Here we have a polynomial  p(x) = x2 – 7x + 12=(x-3)(x-4)  Now we plot the graph as follow

Q: A polynomial function P and its graph are given. P(x) = 7x3 - x2 - 7x + 1 y 4 -4 2 4, 2. 2.

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Q: Find the x-intercepts of the polynomial function. f(x) = x6 − 7x3 − 8

A: To Find the x-intercepts of the polynomial function. f(x) = x6 − 7x3 − 8

Q: The second polynomial is a factor of the first. Factor the first polynomial completely.…

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Q: The total revenues (in dollars) for a company to sell x blank audiocassette tapes per week is given…

A: topic - linear equations

Q: Use the graph of the polynomial function f(x) (a) to solve f(x) = 0, and (b) find the factorization…

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Q: Factor the polynomial function f(x)=12x3−41x2−27x−4f(x)=12x3-41x2-27x-4.

A: Given,          Factor the polynomial function fx=12x3-41x2-27x-4.

Q: Graph the polynomial function. 3 f(x)= 4x -9x - 6x+2

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Q: Find the x-intercepts of the polynomial function. f(x) = x6 − 35x4 − 36x2

A: Put f(x) =0.

Q: Let P be a polynomial function, and P(x) = x – dz + 8x2- 14x + 16. If (x-2) is a factor of the…

A: The given polynomial function is: Px=x4-dx3+8x2-14x+16 And also given that x-2 is a factor of this…

Q: How do you find the zeroes of f(x)= [(2x^3)-(9x^2)+(12x)-(3)]? When I try the possible real zeroes…

A: f(x)=2x3-9x2+12x-3

Q: f(x)=2x^2(x^2+4x-12) how do you find all the real zeros of the polynomial function?

A: Here, we need to find all zeros of the polynomial function f(x)=2x2(x2+4x-12). Now,…

Q: f(x) = 2x3 − 6x2 + 4x (a) Apply the Leading Coefficient Test. The graph of the function rises to the…

A: (a).We are given the polynomial P(x) = 2x3 - 6x2 +4x  We can easily see that  Leading coefficient =…

Q: 1. Which is a polynomial function? P(x) = 2x³ + 3x² - 4x + 4 A. B. H (x) = 4x¹/2 + 3x -4 c.…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: omplete factored form of the polynomial f(x), given that ko -11x -37x2-24x k = - 1 pe your answer in…

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Q: x =-2 is a known zero of the polynomial P(x ) =x* - 7x³ – 22x ² + 28x + 72. Use the

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Q: Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or…

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Q: 9. Examine the leading term of the function P(x)=-2x³ + 3x² – 5x + 3. Determine the far-left and…

A: Solution: Given data, P(x)=-2x3+3x2-5x+3 The leading term in a polynomial is the term with the…

Q: Find the p(3) if the polynomial function is defined by p(x)=2x3-x2+3x-2.  Find p(x+1) if the…

A: Given: px=2x3-x2+3x-2 px=3x2+7x+24

Q: The square has a side of (3x + 2) meters. (a.) find the polynomial function that will represents the…

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Q: Examine the leading term of the function P(x)=-2x³ + 3x² – 5x+3. Determine the far-left and far-righ…

A: The nth order polynomial is represented as p(x)=axn+⋯+bx+c. Here, a is called the leading…

Q: (x² +7x- 44) (x²+2x-24)=0 Which of the choices is not a solution of the polynomial equation? O A.x=4

A: The polynomial equation in 4th degree is,                  x2+7x-44x2+2x-24=0 and…

Q: F(x)=3x^4-9x^3+5x+14 What is the remainder? Is x-2 a factor of f(x)=3x^4-9x^3+5x+14

A: Divide the polynomial  for finding the remainder.

Q: a. Use synthetic division to show that 3 is a solution of the polynomial equation 14x3 - 17x2 - 16x…

A: Explanation: Given that the polynomial equation  14x3-17x2-16x-177=0Write the coefficients  Use…

Q: 9x²-x+2. 1. Show that a-2 is a factor of z³-6x² +12r -8. ntor of 6x² + 5x³

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 5. Find the degree, the leading term, the leading coefficient, the constant term, and the end…

A: Given polynomial, P(x) = -x^3+5x^2-2x-7

Q: I want to make a door  with height X . The door will be made from a piece of wood that is 20x 30…

A: To write the polynomial function in factored form for the volume of the door and also in standard…

Q: The polynomial function p(x) = a0 + a1x + a2x2 + a3x3 is zero when x = 1, 2, 3, and 4. What are the…

A: We have given a polynomial; p(x) = a0 + a1x + a2x2 + a3x3 That is zero when x=1,2,3,4

Q: The polynomial function P(x) = 0.006A 2 - 0.02A + 120  models a man’s normal systolic blood…

A: P(x) = 0.006 A2-0.02 A+120P(x) represents systolic blood pressure at 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: Find all real solutions of the polynomial equation. (Enter your answers as a comma-separated list.)…

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Q: Construct a polynomial function with the following properties: third degree, only real coefficients,…

A: Here we have to construct a third degree polynomial. Here we must know that for a polynomial having…

Q: Solve the polynomial a. (2x2y)3[(3xy2)2(4xy2)]2 b. (5x-3y)(x2-4xy+2y2) c. (x2-3xy+y2)(x2+3xy+y2)

A: According to our guidelines, we can answer only the first three subparts of a problem, the rest can…

Q: f(x) = 2x3+x2-7x-6Use the Rational Zero Test to factor the polynomial completely. Show the work and…

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Q: Solve the polynomial equation x3 + 4x2 − 9x − 36 = 0 and select the correct answer below.  a x =…

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Q: Completely factor the polynomial f(x)=x²-24x³ +215x²-852x+1260. Hint f(x) has a double root

A: Let's find factor of given polynomial.

Q: Construct a polynomial function with the following properties: third degree, only real coefficients,…

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Q: factor f(x) = 3x3 -2x2 - 53x - 60 given that -3 is a zero

A: The given function is,

Q: polynomial P(x)= x3 + kx2+4x-12 has an x- intercept of -2.The polynomial can be written as…

A: Given query is to find the value of c.

Q: The Missing Coefficient Consider the polynomial function P(x) = x* - 3x + ax² – 6x + 14, where a is…

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Q: Algebraically factor the polynomial P(x)=x* +3x' – 3x² – 7x+6. |

A: Given polynomialp(x)=x4+3x3-3x2-7x+6solution:-put x=1p(1)=14+313-312-71+6p(1)=0here x=1 is a factor…

Q: Find all real solutions of the polynomial equation. x4 + 8x3 + 9x2 − 28x + 10 = 0

A: The given polynomial equation,  x4+8x3+9x2-28x+10=0

Q: Find the zeros for the polynomial function f(x) = x3 + 7x2 - 4x - 28 andgive the multiplicity for…

A: fx=x3+7x2-4x-28 We need to find the zeroes of the polynomial and give the multiplicity for the zero…