Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = 11x* + 10x³ - 78x? - 70x + 7 %3D Find the real zeros of f. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any rational numbers in the expression. Use a comma to separate answers as needed.) B. There are no real zeros.

Q: Find all zeros of the polynomial function or solve the given polynomial equation, f(x) = x4 - 2x3 +…

A: The given polynomial equation is Use Rational Zero Theorem to find the list of possible roots for…

Q: 2x3 # 2x² -9x + 9

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Q: Find a polynomial f(x) of degree 3 that has the following zeros. 0, 2, -6 Leave your answer in…

A: A polynomial will have α as a zero if and only if x-α is a factor of the polynomial.     For zeros…

Q: f(x)=x³+ 3x²- 36x– 108 ar

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Q: Use the Factor Theorem to find all real zeros for the given polynomial function and one factor.…

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Q: Use the Factor Theorem to find all real zeros for the given polynomial function and one factor.…

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Q: Find all rational zeros of the polynomial, and write the polynomial in factored form.  P(x) = 12x3 -…

A: Consider the given function as Px=12x3-25x2+x+2

Q: Determine the number of positive and negative real zeros the polynomial can have using Descartes…

A: Consider the polynomial

Q: Use synthetic division to decide whether the given number k is a zero of the polynomial function. If…

A: For synthetic division we find the coefficients of x^2+3x+2.That is 1,3,2

Q: Use the Factor Theorem to find all real zeros for the given polynomial function and one factor. For…

A: Given,          fx=x3+4x2-3x-12 ; x+4

Q: Find all rational zeros of the polynomial, and write the polynomial in factored form.  P(x) = 6x4 -…

A: p(x)=6x4-7x3-12x2+3x+2

Q: Use the rational zeros theorem to list all possible zeros of the function f(x) = 3x + 5a? + 3a +5.…

A: We have to find possible zeros

Q: determine the number of positive and negative real zeros the polynomial can have using Descartes…

A: To apply Descartes' rule of signs to locae the roots of the given polynomial

Q: For the polynomial function, (a) list all possible rational zeros, (b) find all rational zeros, and…

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Q: Find all the zeros of the polynomial: f(x) = a ³ + 4x? – 41x + 36 .if (x – 4) is a factor of this…

A: Given,  fx = x3+4x2-41x+36   x-4  is a factor of this polynomial  We have to find the all the zeros…

Q: For the function f(x) = 9xª – 21x3 + 13x2 + x - 2: State the degree of the polynomial а. b. How many…

A: Given:f(x)=9x4-21x3+13x2+x-2

Q: Use synthetic division to decide whether the given number k is a zero of the polynomial function. If…

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Q: Find all real and imaginary zeros for the polynomial function f(x)=x3+12x2+43x+42.

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Q: Use a graph to find all the solutions of the polynomial and sketch the graph. Solutions must be in…

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: Find the real zeros if possible. Use the real zeros to factor f (f)=x3+2x2-5x-6

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Q: Find all rational zeros of the polynomial, and write the polynomial in factored form.  P(x) = 6x4 -…

A: Given polynomial is, Px=6x4-23x3-13x2+32x+16. The zeroes are found as follows:…

Q: Use the rational zeros theorem to list all possible zeros of the function f(x) = x + x? Enter the…

A: We can find the possible zeros using the rational zeros theorem as below.

Q: Use the Factor Theorem to find all real zeros for the given polynomial function and one factor.…

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Q: Use the rational zeros theorem to list all possible zeros of the function f(x) = 7x + 5æ? - 4x + 3.…

A: Given:The given function is f(x)=7x3+5x2-4x+3To find:we have to find the possible zeroes…

Q: Use the Rational Zero Theorem to find the zeros of the polynomial function f (x) = x³ – 7x² + 7x +…

A: Answer is in below steps.

Q: Given the polynomial: f (x) = 2x° + mx* – 40x° + nx² + 218x – 168 And that two of the roots are x= 1…

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Q: Use the Factor Theorem to find all the real zeros for the polynomial function f(x) = 2x³ + x² – 5x +…

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Q: Find all rational zeros of the polynomial, and write the polynomial in factored form.  P(x) = 2x3 +…

A: we have to find all the rational zeros of the polynomial and write the polynomial in factored form.…

Q: a. Use synthetic division to show that 3 is a solution of the polynomial equation 14x3 - 17x2 - 16x…

A: Explanation: Given that the polynomial equation  14x3-17x2-16x-177=0Write the coefficients  Use…

Q: Find all zeros of the polynomial P(x) = x3 - 3x2 - 10x + 24 knowing that x = 2 is a zero of the…

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Q: Use Descartes' Rule of Signs to state the number of possible positive and negative real zeros of the…

A: For positive zeroes, one have to count the number of sign changes in f(x). For negative zeroes, one…

Q: Find all rational zeros of the polynomial, and write the polynomial in factored form.  P(x) = 4x3 -…

A: Given:            Px=4x3-7x+3  First check the solution of cubic equation by putting the different…

Q: a. Use synthetic division to show that 2 is a solution of the polynomial equation below. 15x – 10x2…

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Q: Find all rational zeros of the polynomial, and write the polynomial in factored form.  P(x) = 4x4 -…

A: Given ,P(x)=4x4-37x2+9 For zeroes, substituting,P(x)=0…

Q: 24. P(x) = 2x' + 3x - 8x + 3 %3D

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Q: Use the Factor Theorem to find all real zeros for the given polynomial function and one factor. S…

A: Given that: f(x)=3x3-x2-40x+48;   x+4 is a factor.

Q: Use the Factor Theorem to find all real zeros for the given polynomial function and one factor 2x3 +…

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Q: Find all rational zeros of the given polynomial function f. (Enter your answers as a comma-separated…

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Q: Find the zeros for the polynomial function and give the multiplicity for the zero. State whether the…

A: fx=-3x+12x-43 To find zeros, put fx=0, we get -3x+12x-43=0⇒x+12=0  or  x-43=0⇒x=-12  or  x=4…

Q: The graph of the polynomial function f(x) =x* +x2 - 4x + 6 is shown below. What does the real…

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Q: Find all rational zeros of the polynomial, and write the polynomial in factored form.  P(x) = 12x3 -…

A: We have to find all rational zeros of the given polynomial, and write the polynomial in factored…

Q: Find all zeros of the polynomial function or solve the given polynomial equation, x4 - 3x3 - 20x2 -…

A: Given information: The given polynomial equation is x4 -3x3- 20x2- 24x- 8=0. Calculation: Use the…

Q: Use the Rational Roots Theorem (p's and q's) to list all the possible rational zeros of the…

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Q: Use synthetic division to decide whether the given number k is a zero of the polynomial function. If…

A: Use synthetic division to decide whether the given number k is a zero of the polynomial function. If…

Q: Construct a polynomial function with the following properties: third degree, only real coefficients,…

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Q: Use the rational root theorem and polynomial division to find all zeroes of the following…

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Q: Find ALL zeros for the polynomial function AND factor the polynomial into linear factors. 7) f(x) =…

A: on solving this we get the

Q: Use the Rational Zero Theorem to find all real zeros of the polynomial. (Enter your answers as a…

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Q: Find all rational zeros of the polynomial, and write the polynomial in factored form.  P(x) = 4x3 +…

A: Zeros of the function are those values of x for which the value of the function is 0. To find the…

Q: Jae is constructing an open box from a plece of cardboard that is 9 in. wide and 12 in. long. He…

A: Given Data: The width of the cardboard is: w=9 in. The length of the cardboard is: l=12 in. The…