Given that x = 2 is one root of g(x) = 2x* + 4x – 9x² – 11x – 6 = 0, use factorisation to determine how many real roots it has.

Q: Find a polynomial function with real coefficients that has the given zeros.

A: The given zeros are -52, -5, 1+3i

Q: Given that (x+1) is a FACTOR of the polynomial, find all the ROOTS of the polynomial

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Q: consider the polynomial equation x3-7x2+14x-4=0 over the interval [0,2].

A: Iteration formula: The iteration formula of secant method is pn+1=pn-1-f(pn-1)pn-pn-1f(pn) -…

Q: Find the zeros of the quadratic polynomial f (x) =6x2-3,and verify the delatiob-ahip between the…

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Q: Solve the following polynomial equation completely. Start by using the Factor Theorem. x³ + 9x² +…

A: Topic = Polynomial

Q: If a + bi is a root of a polynomial equation with real coefficients, b + 0, then. equation. is also…

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Q: Find a polynomial function with real coefficients that has the given zeros.4, −3i

A: Given: Zeros: 4, -3i

Q: Find a real root using bracketing method of the polynomial function f (x) = 3x³ + 8x? – 9x – 13.…

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Q: Find all roots of the polynomial f(x) = 10x² - 30х — 180

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Q: 4. If x=-4 and x=1 are the roots of x* + 3x' - 3x +3x – 4 = 0, find the other two roots of the…

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Q: If x+3 is a factor of P(x)=3x^3+5x^2-11x+3, find the roots of P(x)

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Q: 4x

A: Zeros of f(x) must satisfy f(x),i.e., f(x) will reduce to zero at the zeros of f(x).

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

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Q: Consider 2x3+3x2-x+7=0 where α, β, γ are roots.  Find α2β+β2α+γ2β+β2γ+α2γ+γ2α

A: Given, 2x3+3x2-x+7=0

Q: Using MOSS, find the roots of x3-3x+1.

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Q: The number of zeros of the polynomial x?+ 4x +1 in Zs is:

A: As Z_6 is finite, we check for zeros of polynomial by substituting every  elements of Z_6.

Q: Find the value ofc that makes x² +10x +c a perfect square polynomial

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Q: solve the polynomial for all roots: f(x)=x3-4x2-5x+20

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Q: Find the roots of the polynomial: f(x) = x4 + 4x2 – 32.

A: We have to find the roots of polynomial: fx=x4+4x2-32 To find the roots of given polynomial we need…

Q: Use the Intermediate Value Theorem to show that the equation                       x6 - 8x4 + l0x2 -…

A: To showx6-8x4+10x2-1=0 has atleast six distinct solutions using intermediate Value theorem.

Q: Solve the polynomial 5x* - 16 + 3x2 + 20x - 4 = 0, given that 2 is a root of multiplicity 2.

A: Given polynomial is : 5x4-16x3+3x2+20x-4 = 0 The root x=2 has multiplicity 2.

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

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Q: Find the exact roots 6x¹-11x³+x²+33x-45=0

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Q: 2. Solve the polynomial equation for all zeros. x4 + 5x2 =z?

A: Simplify the polynomial equation x4 + 5x2 = x3 as follows.

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 8, -1 (multiplicity 2), 0 Leave…

A: We have to find a polynomial f(x) of degree 4 that has the following zeros  8,-1,-1,0 i.e x =…

Q: Write the equation of a third degree polynomial in standard form (multiply out) with the given…

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Q: 10 h(x) = x³ + 5x² - 4x- 20 %D

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Q: Find all the real zeros of teh polynomial. Use the Quadratic Formula if necessary given. P(x) = 4x3…

A: Zeroes are those values for the polynomial which gives zero value for the polynomial when replaced…

Q: find the zeros of the quadratic polynomial x2 +7x+12 ,and verify the relation between the zeros and…

A: Given the polynomial x2+7x+12=0

Q: The term containing the highest power of x in the polynomial f (x) is 6x. One of the roots of the…

A: Given the quadratic polynomial x2-2x+3 is a factor of f(x) and the highest power of f(x) = 3 Let…

Q: Find a 6th-degree polynomial with a negative leading coefficient that has roots x= 1- (square root…

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Q: If f(x) = 3x2 + βx + 4 and f(−1) = 12, what is the value of β? Show that If 2 is a root of  kx4 -…

A: Given  f(x) = 3x2 +βx + 4 f(-1) = 12 β = ? f(-1) = 3(-1)2 + β(-1) +4 = 12            3(1) -β +4 = 12…

Q: Find the real solutions of x2 - x - 1 = 0.

A: x2−x−1=0x=−b±b2−4ac2aHere,x=−−1±−12−4⋅ 1⋅−12⋅ 1

Q: Calculate the real values of x and y such that (x + y)° is bigger than 8. hinh ai is a solution of…

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

Q: Find the roots of the polynomial: f (x) = x4 + 4x² – 32

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Q: Find all zeros (real and nonreal) of x4 + x3 + 2x – 4.

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Q: Find the roots of the polynomial: f (x) = 2(x – 5)³ + 16.

A: Given f(x)=2x-53+16

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 equation of the polynomial with roots √2 and -5i, real coefficients, and passing through…

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Q: 2)(x°tx -35)(x2 -ext 1a) Lxス+axー27) =D0 2) Cax2 +SX -う)(3x<+5X-2) [xミ qxt 10) =0 3) Casx2-1) (xメ-…

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Q: Find the zeroes of the polynomial x2-3 and verify the relationship between the zeroes and the…

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Q: Determine the real roots of the equation using open methods (Error≈0.001): f(x) = - 24 + 80x - 90x2…

A: According to the fundamental theorem of algebra, every algebraic equation has a root. The derivative…

Q: Find a polynomialf (x) of degree 3 that has the following zeros. 6 (multiplicity 2), –1 Leave your…

A: Given; 6(multiplicity 2),-1.

Q: f(x) = -5x6 + 8X5 + 9X4 -10X3 +2X2 -22X +45

A: To do the calculations in Excel, first enter the numbers in separate cells. Each number is…

Q: Determine the multiplicity of 1 as a root of a polynomial f(x) = x³ 3x¹ +4x³ − 4x² + 3x − 1

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Q: If a + bi is a root of a polynomial equation with real coefficients, b ≠ 0, then________ is also a…

A: Given: if a+bi is the root of a polynomial equation with real coefficients,b≠0, then ..............…

Q: Find a polynomial f (x) of degree 4 that has the following zeros. -4, 1, -9, 0 Leave your answer in…

A: Polynomial  with zeros -4,1,-9,0 can be written as below :

Q: Show the work steps for finding the roots of x* – 13x² + 36 algebraically.

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. -4, -1, 6 (multiplicity 2), 0 Leave…

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Q: Find the third degree polynomial function that has zeros -10 and -12i, and a value of 1,776 when x=2

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