6. Find all zeros of the polynomial f(x) = x* - 4x + 14x - 38x 45x-18given that one factor is (x - 1). Write the polynomial as a product of LINEAR FACTORS

Q: Find  the value of the polynomial 5x-4x2 + 3 at x = 2 and  x = -1

A: Given, Polynomial  =  5x- 4x2 + 3  Finding the value of polynomial at x = 2  = 5*2 - 4(2)2 + 3 = 10…

Q: Find the zeros of the polynomials f(x) =x2 -5x2 -16x +80 ,if it's two zeros are equal in magnitude…

A: Find the zeros of the polynomials f(x) =x2 -5x2 -16x +80 ,if it's two zeros are equal in magnitude…

Q: What are the zeros of the polynomial p (x) = (a - 5) (3x + 5) (x2 – 7x + 12)? %3D Express them in…

A:

Q: What are all the zeros of the polynomial function fx)=x-2r-8r+10x+152 x- -1, x-3, x + V5 A x=1, x =…

A:

Q: Given that π is not the zero of a nonzero polynomial with rationalcoefficients, prove that π 2…

A: Let us consider a function  f(x)= x2 - ax - b Where a and b are rational  So, f(x) a polynomial with…

Q: Find the zeros of the polynomials f (u) =4u2+8u ,and verify the relationship between the zeroes and…

A: Sum of zeros = -(b/a)  product of zeros = (c/a)

Q: xpress the polynomial in factored form p(x)=x^3-x^2-8x+12

A:

Q: Show that the polynomial does not have any rational zeros. P(x) = 3x3 - x2 - 6x + 12

A: Given: P(x)=3x3-x2-6x+12 To show that the polynomial does not have rational roots.

Q: 15. If the zeros of the polynomial x²+px +q are double in value to the zeros of 2x²- 5x -3, find p…

A:

Q: Express the polynomial x5 + 3x3 + x2 + 2x as a product of its irreducible factors in Z5[x].

A: Given: [May be the question is wrong, otherwise the given solution is correct.] The given polynomial…

Q: The number of zeros of the polynomial x² + 3x + 2 in Z, is: 4 2 1 None

A: The polynomial is given as f(x)=x2+3x+2 Z6=0,1,2,3,4,5

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) = 3x - 8x² +4 has a real zero…

A: Substitute the value of -1 and 0 in f(x).

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) = 4x* - 7x2 + 2 has a real zero…

A: topic - intermediate value theorem

Q: Show that the polynomial does not have any rational zeros. P(x) = x3 - x - 2

A: Show that the polynomial does not have any rational zeros. P(x) = x3 - x - 2

Q: Find the zeros of the polynomials f(x) =x2 -5x2 -16x +80 ,if it's two zeros are equal in magnitude…

A: The answer is given below:

Q: List all the possible rational rooots  for the polynomial F(X)=2x^2 -9x+3

A: By quadratic formula for roots of quadratic equation

Q: The number of zeros of the polynomial x² + 3x +2 in Z, is: O 1 O None O 2

A:

Q: Show that the polynomial function f(x) = x3 - 2x - 5 has a real zero between2 and 3.

A: We have to show that polynomial fx=x3-2x-5 has a real zero between 2 and 3.

Q: 42. If the coefficients of a polynomial function are all positive,then the polynomial has no…

A:

Q: Does there exist a polynomial of degree 3 with real coeffi- cients that has zeros 1, -1, and i?…

A: Zeros of the polynomial are 1, -1  and  i. Since the complex roots occur in conjugate pairs,…

Q: Find the zeroes of a polynomial f(x) =x2-12x2+39x-28 ,If it is given that zeroes are in AP

A: Solution: The objective is to find the zeroes of the given polynomial

Q: 4 Use the Intermediate Value Theorem to show that the polynomial f(x) = 3x* - 10x +4 has a real zero…

A: Given interval is -1 to 0 Use intermediate value theorem to show that polynomial has a real zero…

Q: 27. Show that the third differences of a polynomial function of degree 3 are nonzero and constant.…

A:

Q: Find all the zeros of the polynomial f(x)=2x^3-5x^2-4x+3

A:

Q: Find the Zeros of the polynomial function. f(x) = x2 -11x + 24 O x = -3, 8 O x= -3, -8 O x = 3, -8 O…

A: Given: fx=x2-11x+24 For finding zeros of given equation, we equate it with zero and factorize it

Q: Use the Intermediate Value Theorem to show that the given polynomial f(x) = 3x3 - 8x2 + x + 2 has a…

A: Given- fx=3x3-8x2+x+2 To show-  that the given polynomial has a real zero between the given integers…

Q: 9) Use the Intermediate Value Theorem to show that the polynomial function has a zero in the given…

A: Here the given function  gx=3x3-10x+9 ; -3, -2 The given function is continuous in the given…

Q: Express the polynomial x3+2x+3 in Z5[x] as a product of irreducible polynomials of Z5[x] .

A: Explanation of the answer is as follows

Q: The number of zeros of the polynomial x² + 2x + 3 in Z, is: 2 1 4 None

A: 2

Q: Evalute the polynomial at x= -2    5x^4-3x^2 - x + 1 + 5x^3

A:

Q: Determine if x-1 is a factor of the polynomial by using the Factor Theorem. A) x-1 is a factor B)…

A:

Q: Verify that 3,-1 and -1/3 are the zeros of the cubic polynomial p(x) =3x2-5x2-11x -3 and then verify…

A: Note :- Solved by taking cubic polynomial p(x) = 3x3-5x2-11x -3 ( because in cubic polynomial 'x'…

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 0, 6, 4, -3 Leave your answer in…

A:

Q: Find all zeros of the polynomial f(x) = 2x^3 + x^2 − 4x + 1.

A:

Q: (x) = x'+ 7x + 21x+ 35x + 35x+ 21x+ 7x + 1

A: Px=anxn+an-1xn-1+.........+a1x+a0But an≠0 and a0≠0an=Leading coefficienta0=Constant termpq=factor of…

Q: Find all zeros of polynomial  P(x) = 3x^3+x^2+7x-6

A:

Q: Find the zeros of the polynomials f(x) =x2-5x2-16x +80 ,if it's two zeros are equal in magnitude but…

A: Consider the polynomial  fx=x3−5x2−16x +80

Q: Verify that 3 , -1 , -(1/3) are the zeroes of the cubic polynomial  p(x)=3x3-5x2-11x-3

A:

Q: Find the value of the polynomial  5x-4x2+3 at x = 2 and x = -1

A: Given, F(x)= 5x-4x2+3 At x=2 F(2)= 5*2-4*22+3 F(2)= -3

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: 2. Which polynomial function would have the end behaviour of as, x → Ax) = 7x - 8x* - 2x +x + 3x - 2…

A: topic - polynomials The end behavior of a polynomial function is the behavior of the graph of…

Q: 16. Find a fourth degree polynomial that has the zeros 3, -2, i.-C (メ-3) &+) (メ -い)(メ+い)

A: Since we have to find a fourth degree polynomial that has the zeros3, -2, i and -i.Standard form of…

Q: Use the Factor Theorem to show that the statement in the exercise is true.

A:

Q: Show that a cubic polynomial x3 + Ax2 + Bx + C has one real zero and two pure imaginary zeros only…

A:

Q: When we write the polynomial function that has 0,1,2 as the zeros, the resulting polynomial is -2x +…

A:

Q: Show that the polynomial does not have any rational zeros. P(x) = 2x4 - x3 + x + 2

A: The zeros of a polynomial function are the x-intercepts.

Q: Q1. How many bends are there in the roller coaster? Q2. In the given domain, how many times does…

A:

Q: Find a bound on the real zeros of the polynomial function. 45) f(x) = x4 + 2x2 - 3

A:

Q: Show that the polynomial function f(x) = 3x3 - 10x + 9 has a real zero between -3 and -2.

A: Given that, fx=3x3-10x+9