Based on the Fundamental Theorem of Algebra, how many zeros does the polynomial z - 3z-5z +15r? - 36z + 108 have? O 3 O 5 O 15 O 108

Q: 2. Decide if the following polynomials are reducible in Q[x]. (a) 2x3 – 3x + 3; (b) 4x3 — 5х + 2.

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Q: . Do the polynomials x? + 2, 2x? – x + 1,x + 2, and x² + x + 4 span P2?

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Q: The number of zeros of the polynomial x² + 4x +1 in z 1 O None 2 4

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Q: 3. List all the possible rational roots of the polynomial. p(x) = 2x5+ 21x-42x +5x3 + 93x2-7x + 50…

A: Explanation of the solution is given below...

Q: 1. Determine all the zeros for the polynomial P(x) = 4x³ – 13x² + 8x + 15 given that x = 2 – i is a…

A: conjugate of x will also be a zero of polynominal

Q: ,37 19 Polynomial P(x)=6x200+7x-2x19+10 is divided by (x+1). Find the remainder. |

A: P(x)=6x200+7x37-2x19+10 Divisor =x-1

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: 3) Show that (a + b +c)² = a² + b² + c² + 2ab + 2ac + 2bc is a polynomial identity.

A: To show: a+b+c2=a2+b2+c2+2ab+2ac+2bc

Q: The number of zeros of the polynomial x? + 4x +1 in z, is: 4 None 1

A: solution of the given problem is below...

Q: Show that the given values for a and b are lower and upper bounds for the real zeros of the…

A: Given polynomial                    P(x)=8x3+10x2-39x+9

Q: 13) Use the Factor Theorem A) Is (x-1) a factor of f(x) = 5x* -9x' +19x-27x+12. If it is, then find…

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Q: According to Descartes' Rule of Signs, how many positive zeroS could the polynomial x* + 5x* – 2x² –…

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Q: Which polynomial has the zeros 1, –1, & -4? O y = (x+1)(x – 1)(x+ 4) O y = (x+1)x –1)(x – 4) o y…

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Q: Show that the given values for a and b are lower and upper bounds for the real zeros of the…

A: Perform synthetic division on the polynomial. -If the entries in last row alternate in sign then a…

Q: 5. Which of the following represents a polynomial in standard form? * -1– 6x +4x 4x - 1-6x2 O A -6x…

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Q: solve the polynomial equation. In order to obtain the <3-6x 2 + 21x - 26 (x-2)(x 2-4x+13) = 0 O {2,…

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Q: Give a polynomial that has zeros of 13, 5i, and −5i, and has a value of −680 when x=3. Write the…

A: To determine the polynomial in standard form.

Q: The polynomial y = x³ + æ³ – a? – 1 factors into (x? + 1)(x³ – 1). What is the multiplicity of the…

A: Polynomial y = x5+x3-x2-1Factored form: x2+1x3-1Equate x3-1 = 0                +1     +1x3 = 1Taking…

Q: Which polynomial has zeros of (-2, 0); (3, 0); and (3, 0)? O f(x) = a² – x + 6 O f(x) = a² – x – 6 O…

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Q: a.) Show that i is a zero of the polynomial x³ – ix? + 2ix + 2. b.) -i is not a zero of the same…

A: a. Consider the given polynomial: Since So, complex number i is one zero of . But

Q: In the polynomial x^6 − 3x^5 − 5x^4 + 22x^3 − 39x^2 − 39x + 135, it is known that 1 + 2i and √3 are…

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Q: 11. Rewrite the polynomial in Standard Form: 12-3x- 10x -x2 O b) 3x³ - x² +10x + 12 O a). 3x3-…

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Q: 11. Find all zeros of the polynomial P(x) = 2x + 7x + 5x +7x? + 3x.

A: The detailed solution is given below Thank you

Q: 1. How do you know that the given polynomial is divisible or not? 2. How will you prove that the…

A: Given: A polynomial f(x) To check: 1) Whether the polynomial is divisible or not.

Q: Which of the following is not a factor of x^3 + 5x^2 - x - 5? * 5 puntos x + 1 x - 5 x + 5 x - 1…

A: Given the polynomial

Q: If k is a constant, what is the value of k such that the polynomial k?x3 - 6kx + 9 is divisible by x…

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Q: Given that 3 is a zero of the polynomial P(x) = 2x+ – 17x3 +52x² – 64x + 21, find the other real and…

A: NOTE: Refresh your page if you can't see any equations. . take P(x)=0 the given zero is x=3,  now…

Q: According to the Factor Theorem, which are zeros of f(x)=2x^3−22x^2+72x−72 given that (x−6) is a…

A: Given problem:- According to the Factor Theorem, which are zeros of f(x)=2x3 −22x2 +72x−72 given…

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

A: 2

Q: 1. Compute the resultant of x – 3x* – 2r + 3x + 7x + 6 and x* +² + 1. Do polynomials have a common…

A: Given: To calculate the resultant of .

Q: Find k such that the Polynomial P(x) 2x3 + ka? – 2x – 5 is divisible by x – 3. | | k =

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Q: A zero of the polynomial 8x3-10x2-x+3 in Z1s(x) is O a.x=-1 O O b.x-1 OCx-2 Od. None

A: From the option, we put the value of x and then find out value of equation , If zero will come its…

Q: 8. Construct a polynomial with Z coefficents with a root of the given C 3+ V5 (a) (b) 2+ 3і (c) 1-…

A: We have to solve the given problem.

Q: Assume that the polynomial 7? + bx +c = 0 in which b, cE Z, has two integer solutions. Which one of…

A: We have to equation as - x2 + bx + c = 0.......(1) The above equation (1) is a quadratic equation…

Q: 6. Which polynomials have 4 roots? Select all that apply. 3x* – 81 = 0 4x + 4x + 4 = 0 2x4 + 3x? +…

A: The root of the polynomial is measured by its degree. Degree of a polynomial is the highest power of…

Q: 32. If k is a constant, what is the value of k such that the polynomial k2x3 - 6kx +9 is divisible…

A: If the polynomial is divisible by -1 then the remainder will be 0.

Q: 2. Rewrite the following polynomial in standard form: Sx-4-3x+2.x 3. What is the constant term in…

A: solution Q2 standard form of the polynomial = ax4 + bx3 +cx2 + dx +e

Q: Select the polynomial that has exactly three zeros O - 111 O 4x + 11x O 22 - 3x? + 2x2 2 x² 2x 8 -…

A: we know that if polynomial has n degree then there are at most solutions. here in option A…

Q: According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x³ – x2 –…

A: Fundamental theorem of algebra The fundamental theorem of algebra states that- Polynomial P(x) or…

Q: 4. Find all the real and complex zeros of the polynomial. P(x) = 2x3 + 5x² – 6x – 9 9

A: Given P(x) = 2x3 + 5x2 -6x-9

Q: A fourth-degree polynomial with real coefficients canhave −5, −8i, 4i, and 5 as its zeros.

A: Given the statement that a fourth degree polynomial has real coefficients can have  -5 ,-8i 4i and 5…

Q: If 1 is  a zero of the polynomial  p(x) = ax2 - 3 (a - 1 )x - 1 , then Find the value of a

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Q: Show that the given values for a and b are lower and upper bounds for the real zeros of the…

A: Given: Show that the given values for a and b are lower and upper bounds for the real zeros of the…

Q: Rewie the polynomial in the form ax+ bx+c and then identify the val b, and c 9x – a2 8. - - -

A: Identify the value of a,b,c

Q: 2. Find the sum of the coefficients of the polynomial obtained by fully expanding (x - 2). С. 1 А.-2…

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Q: In the polynomial P(x)=(x-1)4(x+3)(2x+3)3(x-6)2 the multiplicity of the zero 6 is?

A: Given:

Q: It can be proven that the expression (a +b) a - ab +b-) is equivalent to which of the following…

A: Given,            a + b a2 -ab + b2

Q: Which polynomial has 3i, -3i, and 3 (with multiplicity 2) as its roots? A x3 - 3x? + 9x + 27 B x* –…

A: Options  x3 - 3x2 +9x + 27  x4 – 6x3 + 54x - 81  x4 - 6x3 + 18x2 - 54x + 81  x4 - 6x3 + 12x2 - 18x…

Q: 2:53 AM Sun Apr 5 © 33% 4 webassign.net Find all zeros of the polynomial. (Enter your an P(x) %3D х3…

A: Using the rational root theorem to check the first zero: The possible zeroes are given by +-factors…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.