1. Find all of the zeros given that one of the zeros is k = f(x)-7x3 + 5x2 + 12x-4 2 . 7

Q: Find the zeros of f(x), given that one zero is k. 17) f(x) = x4 - 12x2 - 64 k = -2i

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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: The function f(x) = kx* + 8x² has three turning points, a maximum value of 8 and a root at x = 2.…

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Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

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Q: 2. Find algebraically the zeros for 3 p(x) = x +x – 4x - 4

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Q: What will be the difference of the two polynomial function p(x) and q(x) at x= 9 where p(x)=6x2…

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Q: Find all the zeros of f(x) = x – 3x3 – 8x? + 26x 12. Given that (x + 3) is a factor of f(x). - -…

A: Given f(x) = x4-3x3-8x2+26x-12. Also, (x+3) is a factor of f(x)   To find zeros of f(x)

Q: Show that the equation x3 - 15 x + c = 0 has at most oneroot in the interval [-2, 2] .

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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: 3. For y = f(x) = x* – 4x³ – 31x? + 46x +168 : a. List all possible rational zeros of f.

A: y=f(x)=x4-4x3-31x2+46x+168 a)  find all possible rational zeros of f  Rational root theorem :  If…

Q: Which is the graph of the polynomial function p(x) = (x-1)(x+1)(x-4)? 241r 24fr y p(x) 16 16 8 8- -6…

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Q: 1) Determine whether the following function is a polynomial function. f (x) = (7x + 3)-²(5x – 1)3 2)…

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Q: 11.What are the zeros of the function represented by the quadratic equa g (x) =- (x-4)?

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Q: Given that 5 is a zero of f(x) = 3x - 17x + 5x + 25, factor f(x) completely. %3D f (x) = %3D

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Q: What effect does the “k” in F(x)= ^3 √x + k have on the graph of the cube root function if k>0 and…

A: Consider the given function and plot the graph for k = 0. Given, fx=x3+kFor k=0, fx=x3

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

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Q: 11. Use the quadratic formula to explain why a quadratic polynomial function f(x) = ax? + bx +c is…

A: fx=3x2+2x+6

Q: 7. If 2 + 5i is one zero of f(x) = x' + 4x -3x + 232, find the remaining zeros. Zero(s).

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Q: If the result of a polynomial division is 2x 3 − 4x 2 − 5x + 23 x + 2 , make at least three…

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Q: Please I want solution with all steps. Many thanks

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Q: 4. Find the Minimum and Maximum value of f (x) = -3x² + 2x + 5.

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Q: 6. Suppose the polynomial function has the given root. Find the other roots (a) f(x) = 2r3 – 4x2 –…

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Q: 11. Determine the number of possible positive and negative real zeros for f(x) = -6x' – 4x + 2x* –…

A: Solution:Given    f(x)=-6x7-4x5+2x4-3x2+1To find the number of possible positive and negative real…

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

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Q: 7. Find all the zeros of f(x). 1 -4 -2 CY=-1 4 -2

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Q: 1 is a zero of the polynomial P(x)= x³ – 3x* + 7x³ – 13x² + 12x – 4 of multiplicity (а) 3 (b) 5 (c)…

A: Let's find x value.

Q: One factor of f(x) = x^3 –8x^2 – 15x+54 is x - 2. What are the zeros of f(x)?

A: Solution of the equation

Q: 2. The possible rational zeros of the function p(x)=x³+ 2x²+ 2x+ 6 are: (a) ±1#2,±3 (b) +1,+2,+6 (c)…

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Q: 3. Find all the zeros for: f(x) = x3 - 2x2 - 5x + 6

A: Given that, y = x3 - 2x2 -5x + 6 and we have to calculate the zeros of the function. We know that,…

Q: Let f(æ) = 6(x + 6)*(– 6x – 4)°(6x + 1)*( 2x + 2)(– x + 3)*. (a) Find the zeros, their…

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Q: 21. Find the discriminant of the quadratic function f(x) = x² + 18x + 81. O 648 O 324 O -324

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Q: 10) If x = 1 is a zero, what are the other zeros for x3 - 3x2 + x + 1 = 0 ?

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Q: Suppose p(x) is a cubic polynomial that shares two of its roots with f (x)=2x² – 5x+3, has the same…

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Q: 13. a) Determine the quadratic function that has zeros at -3 and -5, if f(7) = -720. b) Determine…

A: Soution is here

Q: 10. For the functions f(x) = x² + 4x – 14 and h(x) = -(x +5)² +2 find the following: (A) Intercepts…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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: 5.5 (a) Determine the roots of f(x)= -12 – 21x+ 18x? – 2.75x3 graphically. In addition, determine…

A: Solution 5.5: f(x)=-2.75x3+18x2-21x-12 The graph of the function between xl=-1 and xu=0 Since the…

Q: 5.5 (a) Determine the roots of f(x)=-12 – 21x + 18x2 – 2.75x³ graphically. In addition, determine…

A: The root of a function is the point on the graph which touches the x-axis. To find the root using…

Q: 3. Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not…

A: Given:  To show “ cubic functions must have at least 1 x-intercept but not more than 3". To prove…

Q: is a zero of the function f(x)=2x' - 15x2 + 34x – 21 Hint - ( 2x -7) as a linear factor 712 712 8.

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Q: Find the zeros of f(x), and state the multiplicity of each zero. (Order your answers from smallest…

A: topic - zeeos of a polynomial

Q: 13. Consider the function f(z) = 4z* + 6z* – 3r² + 7z² – 3z + 12. • Make a list of all of the…

A: Given a function : f(x)=4x5+6x4-3x3+7x2-3x+12 We need to find all the real zeroes of the function.…

Q: Beth claims that if a graph of a polynomial has zeros at (-5,0) and (3, 0), then the factored form…

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Q: 9. Find all real zeroes of the function p(x)=6x' +17x² – 26x +8

A: Definition used-              Rational zero theorem  -                       If a…

Q: Find algebraically the zeros for .3 p(x) = x³ + x² – 4x – 4 %3D -

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Q: Find all rational zeroes of f(x). f(x)=4x4−17x2+4

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Q: Suppose f(x) has zeros at x=−3, x=4, x=5 and a y-intercept of 17.  In addition, f(x) has the…

A: Given that

Q: How can all real zeroes be found for g(t) = t^5 - 4t^3 + 4t?

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