Consider the following. P(x) x3 - 2x2 - 6x 12, C = 2 = X Show that the given value of c is a zero of P(x). This answer has not been graded yet. Find all other zeros of P(x). (Enter your answers as a comma-separated list. Enter all answers including repetitions.) х%3

Q: 15. Given the fumctions a(x) = x² + 2x- 1 and b(x), shown on the graph below, find P(x), where P(x)…

A: Given:  a(x)=x2+2x-1. b(x)=x+3. Determine the function P(x).…

Q: 47. For what value of k will the polynomial function f(x)=x²+6x² +kx -4 have the same remainder when…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: The polynomial of degre3, P(x), has a root of multiplicity 2 at X=1 and a root of multiplicity 1 at…

A: Given that: Root x=1 has multiplicity 2Root x=-1 has multiplicity 1.y-intercept is y=-0.8

Q: 1. When the polynomial f(x)= px' +5x +qx-2 where p and q are constants is divided by 2x +3x-2 the…

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Q: Given f(x) = (x−2)^3(−x+ 1)^7(2x+ 6)^2(x+ 4) determine the following: (a) What is the leading (or…

A: The given function is- f(x) = (x−2)3(−x+ 1)7(2x+ 6)2(x+ 4) (a) The leading term of the polynomial is…

Q: Consider the following. x33x2 16x 48, P(x) C = -3 Show that the given value of c is a zero of P(x).…

A: Part(a) Given function is P(x) = x3 + 3x2 -16x – 48 Now we have check that c = -3 is root of the…

Q: Consider the following. P(x) = 4xª – x3 – 28x² – 17x + 6, c= -2, - Show that the given values of c…

A: Consider the polynomial  Px=4x4−x3−28x2−17x+6 c=−2,14

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros,    4multiplicity 2, -8

Q: What is the degree and lead coefficient of the following polynomial? f(z) =−+52 = −x + 5x² − 6x³ +…

A: We have fx=-x+5x2-6x3+10 This can be written as: fx=-6x3+5x2-x+10 The degree is the highest power…

Q: + 2x? 3. Find algebraically the zeros for p(x) = x³ + 2x2 – 9x 18 -

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Q: Find the remainder when f(x) = x7 + 3x5 + x - 1 is divided by x2 +1 in Z5[x].

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Q: Find k so that f(x)=2x² +12x + k has one root.

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Q: the coefficient on the leading term of p(x) positive, negative, or not enough infor- mation to know?…

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Q: What is the lower bound of the polynomial function? f(z) = 1 - 4z - 9z2 +z – 16

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Q: Which of the following is a factor of the polynomial function P (x) = x – x4 – 50x3 – 49x2 + 36?…

A: We need to find factor of given polynomial.

Q: H.W:- find the root of the polynomial below:- 5 x³+ 4x1-3x³+2x²+x+1=0

A: The roots of a polynomial are those values of the variable that cause the polynomial to evaluate to…

Q: Q1: Find an approximation “ x2 “ to one of the zeroes of p(x) = x³ -x -1 using Newton-Raphson and…

A:

Q: Consider the following polynomial. h(x) —D 7x3 — 9х2 — х — 15 Step 2 of 2: Describe the behavior of…

A: Given polynomial is- h(x)=7x3-9x2-x-15 To describe the behavior of the graph of h(x) as x→±∞

Q: 4) Consider f(x) = x³ + 8x² + 16x a. What are the zeros? b. What are the multiplicities of those…

A: Zero's or roots where f(x) is zero

Q: Consider the following. x3 - 4x2 7x 28, Р(x) C = 4 Show that the given value of c is a zero of P(x).…

A: Consider the provided function:

Q: 1. a) Create an equation for a polynomial function, P(x), of degree 3 or higher, in factored form…

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: Given the function b(x)=evcosx+x, what is the approximated value of b(0.20)? Solve by utilizing the…

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Q: 2. Evaluate the polynomial: y = x° – 7x + 8x – 0.35 at x = 1.37. Use 3-digit arithmetic with…

A: Explanation Given polynomial is  y = x3-7x2+8x-0.35 we have to evaluate the given polynomial at…

Q: For f(x)=2x4 +2x3-1 and g(x)=2x3 +2x+3 in Z4[x], the degree of fg is 7. True or false

A:

Q: 1. It is known that the polynomial p(x) = 2 – (x + 1) + x(x + 1) – 2æ(x + 1)(x – 1) interpolates the…

A: Solution by using Newton's forward difference interpolation method .

Q: (b) Find the nested form Q(x) of the polynomial /(x) = x³ + 2x2-5x + 3 and hence evaluate Q(2.6)…

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Q: 12. The second-degree Maclaurin polynomial for f(x)=vx+9 is 3+ x² If this 6 108 polynomial is used…

A: The Maclaurin polynomial for f(x)=x+9is 3+x6-x2108 To approximate 8, substitute -1 for x in the…

Q: 7. The zeros for p(m) = x – 4x² – 9x + 36 are - (1) {3, 4} (3) {– 3, – 4} (2){± 3, – 4} (4) {± 3, 4}

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Q: Determine the values of m and n for f(x)=mx3+20x2+nx-35 given that (x+1) gives a remainder of zero,…

A: Given that f(x)=mx3+20x2+nx-35 given that (x+1) gives a remainder of zero, and when divided by (x-2)…

Q: Find the value of k such that the remainder when f(x) = 2x3 + kx2− 3kx + 2 is divided by x − 3 is…

A: Find the value of k such that the remainder when f(x) = 2x3 + kx2− 3kx + 2 is dividedby x − 3 is 5.

Q: Find the vertical, horizontal, and oblique 3x + 20x + 14x - 65 asymptotes, if any, forf(x) = x* + 8x…

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Q: 1. Given P(x) = 2(x+ 2)(x + 4)(x – 1)³; find: a. The Zeros of the polynomial P(x). b. Maximum number…

A: To find the zeros of the polynomial we set P(x)=0 then solve for x Set each factor equal to 0 and…

Q: Determine the least possible degree of the polynomial function shown. y 31 2 -5 -4 -3 -2 -1 1 4) 3.…

A: This question is about degree of polynomial

Q: Q: Find the zeros of the pol ynomials f(x) =x - 5x² -2x+ 24, If it is given that the product of its…

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Q: Given that the degree of the polynomial f(x) is 8, which of the following most accurately describes…

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Q: #7: For what value of k will the polynomial function f(x)=x'+6x² +kx=4 have the same remainder when…

A: The Polynomial Remainder theorem states that if x-b divides the polynomial, Qx, then the remainder…

Q: For f(x) = 96x2 – 9x +11 8x2 + 3x -1 3. if a horizontal asymptote exists, what is its equation ?

A: To find the horizontal asymptote we have to find the limit x→±∞ of the function.…

Q: 8. Find the sum of all the zeros of the polynomial f(x) = x + 2x2-5x-6 O -5 -2 0. 2 6

A: Given equation is fx = x3+2x2-5x-6Comparing it with ax3+bx2+cx+d = 0a = 1, b = 2, c = -5, d = -6

Q: Find the critical points, A and B, of the following polynomial (with A < B). f(x) = 2x³ + 3x² 336х —…

A: Given polynomial function

Q: 3. Consider the polynomial function p given by p(x) = 5x°+ 8x- 3x +1. Evaluate the function at 3 X =…

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Q: ind the critical points, A and B, of the following polynomial (with A < B). f(x) = 6x³ + 18x² – 630x…

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Q: Givenf(x)-3x+ 10x-13x-20, answer the following. Part: 0/2 Part 1 of 2 Factor f (x), given that -1 is…

A: Given f(x) = 3x3 +10x² -13x -20 Factor f(x), given that -1 is a zero. Means one of the factor of…

Q: Find the critical points, A and B, of the following polynomial (with A&lt;B). f(x)=2x^3−24x^2+5 A=B=

A:

Q: 8 Σ n=1 an, an = ýnt + 4n3 + 6n2 – 3/ P(n)

A: Given : infinite series      ∑n=1∞an ,   an=n4+4n3+6n24-Pn3 To find : third degree polynomial Px…

Q: Given f(x) = x3 − x2 − 7x+ 15, a.Is 2 + i a zero of f(x)? b.Is (x+ 3) a factor of f(x)?

A: Given: the function

Q: Consider the following. P(x) = 2x4 – x3 – 14x2 – 5x + 6, c= -2,- Show that the given values of c are…

A: The given polynomial is,P(x)=2x4-x3-14x2-5x+6, c=-2,12

Q: 3 What is the end behavior of this polynomial function f(x) = – 4x* + 9x' – 5x +x – 7? a. Falls to…

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Q: 8. Consider the function f(x). f (x) = x3 + x2 – 26x – 30 - а. What is the degree? b. What is the…

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Q: Consider the following 3x4 - 8x3 - 14x2 31x + 6, Р(x) 3 c -2, Show that the given values of c are…

A: It is showed that the given values of c are the zeros of P(x).

Q: 1. (a) Evaluate the polynomial y = x³ 5x2 + 6x + 0.55 at x = 1.37. Use 3-digit arithmetic with…

A: Solution a: Given polynomial is y=x3-5x2+6x+0.55 at x=1.37…