Factors f(x) into linear factors given that k is a zero of f(x). f(x) = 2x3 - 3x2 - 5x + 6; k=1

Q: In Problem,explain why the facts given are contradictory.

A: Given:

Q: B. Find the domain of 1. h(x) = V(x - 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1. 3. If f(x) = -1 and…

A: h(x) = (x-2)x-2 ≥ 0 because square root of -ve number is not defined or a imaginary number.x-2 ≥ 0 x…

Q: f(x) =( x^2-1)(x-1)

A:

Q: Factor f(x) = 2x° + 9x - 33x + 14 into linear factors given that -7 is a zero of f(x). 3 %3D 3 f(x)…

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Q: Find the general solution of  f '(x)=(1/x2) , x>0 and f(1)=0

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Q: Given that f(x) = 3x-2, g(x) = 4x+6 and h(x) =2x2 - 8…

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Q: 2) Find the fixed point of the functions : A. f(x) = x² + 5x + 3 B. f(x) = x³ – 4x² + 6x – 2 C. f(x)…

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Q: Find an n-th degree polynomial function with real coefficients satisfying the given conditions.…

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Q: Find f' (2) and determine the value of x for which f'(x) = 0 a) f'(x) = ln2x - 2x b) f'(x) = (2x…

A: Two functions are given by, f'x=ln2x-2x and f'x=2x-85. The objective is to find the value of f'2 and…

Q: Factor f(x) into linear factors given that k is a zero of f(x) F(x)= 4x^3 + 13x^2 — 60+36 ; K=2

A:

Q: Factor f(x) into linear factors given that k is a zero of f(x). f(x)=2x^3+9x^2-77x+36; k=4…

A: k is a zero of f(x) meansf(k)=0 or (x-k) is a factor of f(x)=2x3+9x2-77x+36   here  k = 4  so (x -4…

Q: Factor​ f(x) into linear factors given that k is a zero of​ f(x). ​f(x)=x4+3x3−42x2−172x−168​;…

A: The given polynomial f(x)=x4+3x3-42x2-172x-168; k=-2 is zero of f(x)

Q: Factor f(x) into linear factors given that k is a zero of f(x). f(x) = 8x3 + 42x2 + 37x - 12; k =…

A: Using synthetic division:Write the coefficients of the dividend to the right.

Q: x-1' Find the value of the constant A for which the follo

A: Find the value of A

Q: Q-3: Plot the zeros of each polynomial on a line together with zeros of its first derivative. 1. y =…

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Q: The function f(x) =x³ – 3x2 + 3x -1, x e R has a point of inflection | at A) x = 1 B) x =-1 C) x = 3…

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Q: 3. Factor f(x) into linear factors given that k is a zero of f(x). f(x) = 2x3 – 3x2 – 5x + 6; k = 1…

A: Synthetic Division:     Synthetic division is a shortcut method to find the zeroes( or roots) of the…

Q: Factor f(x) = 4x3 + 15x2 - 24x + 5 into linear factors given that - 5 is a zero of f(x). f(x) = 4x3…

A: Factor problem....

Q: Factor f(x) into linear factors given that k is a zero of f(x). f(x) = 3x- 5x2- 48x+ 80; k= 4 f(x)…

A: Given that f(x)= 3x3-5x2-48x+80; k=4we have f(x) into linear factors where k is a zero of f(x)

Q: Factor f(x) into linear factors given that k is a zero of f(x).  f(x) = 2x3 - 3x2 - 5x + 6; k =1

A:

Q: Factor f(x) into linear factors given that k is a zero of f(x). f(x) = 2x° + 9x2 - 17x+ 6; k = 1…

A: According to factor theorem, a polynomial has a linear factor if only if the remainder is zero.…

Q: Factor f(x) into linear factors given that k is a zero of f(x). f(x) = 2x3 + 3x2 - 8x + 3; k = 1…

A:

Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

Q: Factor f(x) into linear factors given that k is a zero of f(x). f(x) = 3x- 11x -35x+75; k 5 f(x) =…

A: Given :         fx=3x3-11x2-35x+75

Q: 4. Factor f(x) into linear factors given that k is a zero. f(x) = 6x3 + 17x² – 63x +10;k=-5 a. f(x)…

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Q: 2. Use the Intermediate Value Theorem to show thatf has a zero between a and b: f(x) =x+2 x*- 6…

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Q: 1. Use the Intermediate Value Theorem to show f(x)= 2x +6x² – 3 has a zero between a = -3 and b =…

A: I am attaching image so that you understand each and every step.

Q: 3) "s) Determine the highest real root of f(x) = 3x' +11,8x -17,8x-6 a) Graphically,

A: f(x)=3x3+11.8x2-17.8x-6from below graph, highest real root is x= 1.386

Q: 10. For f(x) = 2x3 + 7x + 4, g(x) = 4x? + 4x + 6, and h(x) = 6x² + 3 in Zg find f(x) + g(x)h(x) with…

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Q: Factor f(x) into linear factors given that k is a zero of f(x) f(x)=2x3-3x2-5x+6;k=1

A:

Q: Factor f(x) into linear factors given that k is a zero of f(x). f(x) = 3x + x- 19x+ 15; k=1 %3D f(x)…

A:

Q: Factor f (x) = 2x^3 - 3x^2 - 5x + 6 into linear factors given 1 is a zero of f(x).

A: Given that f(x) = 2x³ - 3x² - 5x + 6

Q: Find the area of a triangle bounded by the x-axis, the line f(x) = 12 – 1 / 3 x, and the line…

A: Given:

Q: Find an equation for a polynomial f(x) that satisfies the following: Degree 3 Zero at x=3 Zero at…

A: We have to find degree 3 polynomial fx having zero at x=3, x=2 and x=-1, and y intercept is 0,4.

Q: Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 2, 1, 5.…

A:

Q: f(x) = 1- 2x and g(x) = 1- x. Find (fo g)(x). %3D 4x - 1 2x 4x 2x - 1

A: Given  f(x)=1-2xand g(x)=1-x

Q: Factor f(x)  into linear factors given that k is a zero of f(x)    Factor f(x) = 2x3 - 3x2 - 5x + 6;…

A: Using synthetic division:

Q: Find the equation for a polynomial f(x) that satisfies the following: · Degree 3 · Zero at r = 2 ·…

A: Explained below

Q: Find an nth-degree polynomial function with real coefficients satisfying the given condition n = 3;…

A: Our Aim is to find an nth-degree polynomial function with real coefficients satisfying the given…

Q: Factor f(x) into linear factors given that k is a zero of f(x). 2 f(x) = 4x + 23x- 34x+7: k= 1 f(x)…

A:

Q: 4. Factor f(x) into linear factors given that k is a zero. f(x) = 6x3 + 17x2 – 63x + 10 ; k =-5 %3D…

A: Since k=-5 is a zero of f(x), then x+5=0 is a factor of f(x) By using synthetic decision,…

Q: Factor f(x) = 6z³ + 31z² – 29r + 6 given that is a zero. f(z) = (3x + 1)(2z – 1)(x – 6) %3D • f(z) =…

A: Given information: The function is f(x)=6x3+31x2-29x+6 and one zero is 13. Calculation: If one zero…

Q: A polynomial function, f (x), has roots at x = -3, 1, and 5. The y-intercept is at -1. Determine the…

A: A polynomial function the f(x) has roots  x= -3,1 and 5 ,the Y intercept is at -1 To determine the…

Q: Find the local extrema of the functionf(x)=x2+x−2x−2.

A:

Q: factor f(x) into linear factors given that k is a zero of f(x) f(x)= 6x^3+13x^2-14x+3; k=-3

A: Given:

Q: The function f (x) = (x + 6)³ – 2e*“ has two roots between x = -7 and x 11.

A:

Q: Given that f(x) = 2x^3+9x^2-60x+70, Find the local maximum and local minimum for f(x)

A: Given,            fx=2x3+9x2-60x+70

Q: 3. Factor f(x) into linear factors given that k is a zero off(x). f(x) = 2x3- 3x2- 5x +6; k = 1

A:

Q: The function f: R R satisfies the condition mf (x-1)+nf(-x) =21x|+ 1. If f(-2) = 5 and f(1) = 1,…

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Q: Factor f(x) into linear factors given that k is a zero of f(x). f(x)= 3x^3+11x^2-62x+56; x=2…

A: We will reduce the polynomial to lower degree using synthetic division and find the other factors…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.