4) list all possible rational zeros, use synthetic division to find one factor and solve all re f (x) = 2x3 – 8x² + 7x + 2 %3D i) list all possible rational zeros: ii) Find one factor: ii) Solve all real zeros:

Q: se the Rational Root Theorem to find all possible rational roots, then continue on to find all the…

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Q: Use the remainder theorem and synthetic division to find the value of f(3) if f(x) =x³ – 6x² + 13x –…

A: Topic = Algebra

Q: Solve the following cubic polynomial P(x)=x³-11x²+39x+45

A: Given: To solve the following cubic polynomial P(x)=x3-11x2+39x+45

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

A: Topic = Polynomial

Q: For the polynomial P(x) = x - 5x2 – 4x + 20, a) list all the possible rational zeros, b) use a graph…

A: To solve the following problem

Q: Make a list of all possible rational zeros of f(x) = x° + 16x?-4x + 3. If the answer is not an…

A: f(x)=x5+16x2-4x+3 To find:Possible rational zeroes

Q: Given: f(x) = x3 - 4x2 + 8x - 5. Solve, a. List all possible rational zeros. b. Use synthetic…

A: a) The lead coefficient=1  The constant= -5

Q: Find all rational zeros of: f(x) = 2r – 113 + 14x² – 11x + 12.

A: f(x)=2x4-11x3+14x2-11x+12

Q: b 20. for f(x)=x³+4x²-3x-6 U find all possible rational zeros, and then test until you find one that…

A: This question can be solved using the concept of factor theorem.

Q: Find the remainder R when f(x) = 3x3 + 11x2 + 4x - 5 is divided by g(x) = x + 2. Is g a factor of f…

A:

Q: Given, f(x) = 6x3 + x2 - 4x + 1. Solve,  a. List all possible rational roots or rational zeros. b.…

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

Q: List all possible rational zeros, find all rational zeros, and factor f(x). 3 f(x) =x-3x-33x+35 13…

A: Given: fx=x3-3x2-33x+35

Q: Use the rational roots theorem to find the possible roots of the following polynomial equation: 10x…

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Q: snip

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Q: Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in…

A: 4) Given x3-8x2+x-8=0   To Use: The rational root theorem, Decartes's rule of signs, and the theorem…

Q: Use the Rational Zero Theorem to find the solutions to the equation x³ + x² – 5x – 5 = 0. - -

A: We have to use rotational zero theorem to find the roots of the equation.

Q: Use synthetic division and the remainder theorem to find the indicated fuincuon value f(x)=5x

A: Using Remainder thm,

Q: The possible rational zeros of P(x) = 10x3 + 3x2 − 22x − 22 are

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Q: Use the Remainder Theorem to show that X+1 is a factor of 19x42 + 18x -1.

A: we have to divide the equation 19x42 + 18x -1 by x+1 by remainder theorem so, for that we will first…

Q: Use synthetic division to show that c is a zero of f (x) .

A: fx=3x4+8x3-2x2-10x+4,   c=-2 By using synthetic division, we get -2 3        8        -2        -10…

Q: 1. List all of the possible Rational zeros for the following polynomial: Then find all of the zeros…

A: Given, g(x)=x4-13x2+36

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: Use a direct proof: If x and y are rational, then 3x+2y is also rational.

A: In this question, concept of Direct proof is applied. Direct Proof A direct proof is a series of…

Q: Use the remainder theorem to determine if X=-7 is a solution of the polynomial F(x)=3x^2 + 2x^2 -…

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Q: What steps would you take to find the rational zeros of a polynomial P?

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Q: Use the rational root theorem and division to find ALL roots for: c(x) = x² − 2x³ +26x² − 50x + 25

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Q: What are the quadratic form of the following rational equations?

A: According to guidelines we are allowed to answer only first one in multiple question.

Q: Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the…

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Q: List the potential rational zeros of f(x) = x^5 − x^4 + 2x^2 + 3, but donot attempt to find the…

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Q: Find the solution for each rational 3 %3D x+1 x-3

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Q: Given the polynomial y = 10x³ – 27x? + 15x – 2, a. list all possible numerators for rational roots…

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Q: Find all possible rational zeros of 3x + 9x + 8x° – 2x2 – 3x – 2. Write all answers as reduced…

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Q: Given, 8x3 - 36x2 + 46x - 15 = 0. Solve,  a. List all possible rational roots or rational zeros. b.…

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

Q: is

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Q: Find all rational zeros of: f(x) = 2x* – 11r³ + 14a² – 11r + 12.

A: We need to find the rational zeros of the given polynomial.  By Rational zero theorem, a polynomial…

Q: Given that x = 2 is one root of g(x) = 2x* + 4x – 9x² – 11x – 6 = 0, use factorisation to determine…

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Q: List all possible rational zeros of p(x) = 6xª – 23.x3 + 41x² + 209x – 12 - -

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Q: (2) Consider the polynomial 6x 22x2 + 7x + 15. What are all - of the possible rational zeros? Does…

A: To find the possible rational roots

Q: |Consider the equation x* +x – 21x² – x + 20 = 0, determine whether -5 is a root using synthetic…

A: Consider the given equation x4+x3-21x2-x+20=0.

Q: List all the rational zeros of: P(x)=2x3+3x2-11x-6

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Q: Given: x3 - 2x2 - 11x + 12 = 0. Solve,  a. List all possible rational roots. b. Use synthetic…

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Q: 13

A: We find all possible rational zeros of the given function using rational zero theorem.  For that we…

Q: For the polynomial P(x) = x - 5x – 4x + 20, a) list all the possible rational zeros, b) use a graph…

A: By factorising the equation

Q: Given: f(x) = x3 - 2x2 - 11x + 12. Solve,  a. List all possible rational zeros. b. Use synthetic…

A: Given :  f (x) = x3 - 2 x2 - 11 x + 12  .   To determine :  (a) List all possible rational zeros.…

Q: List the possible rational zeros. g (x) = x° +4x³ – 2x²+6

A: Given,

Q: Consider the polynomial 6x3 22x2 + 7x + 15. What are all - of the possible rational zeros? Does this…

A: We have to apply hit and trial method to find the first zero of the given cubic polynomial. And then…

Q: Find the rational zeros of P(x) = x3 - 3x + 2.

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Q: = 3xª – 10x³ – 9x² + 40x – 12 and write the 1. Find all rational zeros of P(x) polynomial in…

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Q: h(x) = x³ + 5x² - 4x-20 %D

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Q: Write down the statement for the remainder theorem for a CUBIC Equation. Once completed verify this…

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Polynomials

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