Describe the number and type of roots for the polynomial (number of real and complex).  x3 + 2x2 – x – 2 = 0

Q: a) the value of p b) the other roots of the polynomial

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Q: Express your answer as a polynomial in standard form. f (x) : = -3x - 14 g(x) = 3x2 - + 15 Find: (fo…

A: Explanation of the answer is as follows

Q: f(x)=x³+ 3x²- 36x– 108 ar

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Q: Find a polynomial f(x) of degree 3 that has the following zeros. 9, 7, -8. Leave the answer in…

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Q: Consider the polynomial equation of P(r) = 0 where P(x) = #* – a* – ² – a – - 2. - T (a) What are…

A: The given polynomial is Px=x4-x3-x2-x-2.

Q: Find numbers x and y with sum 10 and product 24. Hint: Find a quadratic polynomial satisfied by x.

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Q: Determine the roots algebraically by fact a) x- 8x2- 3x + 90 = 0 b) x + 9x + 21x - x - 30 = 0 c)…

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Q: E P= x5-2x-9x-6 how many real roots to this polynomial ? Use Descartes' sign rule to find real Foots…

A: Given P(x)=x5-2x2-9x-6 Using Descartes's sign rule: There are 1 sign change in the coefficient of…

Q: Activity 6. Find all the real roots of the following polynomial equation 1) (3x + 2) (x2 - 25) = 0

A: Multiple questions are asked, I am answering the first question, please repost other questions

Q: Q(s) = s - s³ + s2 - 3s - 6 %3D

A: Given:

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: of p (x) = a- a? 14x + 24 and use them to factor the polynomial completely. Find all zeros

A: The zeroes of a polynomial are the values of the variable where the value of the polynomial is equal…

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: Use Descartes Rule to find the possible roots of the polynomial and determine all the roots of the…

A: Concept Used: According to Descartes Rule: The number of positive real zeros is either equal to the…

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

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Q: Perform the indicated operations. Write the resulting polynomial in standard form and indicate its…

A: Given Data The equation is 5x2-7x-8+2x2-3x+7-x2-4x-3.   Arrange the all the identical term and…

Q: Use a graph to determine the number of real zeros and the number of imaginary zeros of the…

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Q: Use synthetic division to show that I= 6 is a root of the equation z - 12z - 4r + 240 = 0. Use the…

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

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Q: Descartes’s Rule of Signs gives the exact number of positive and negative real roots for a…

A: the given statement is: Descartes's rule of signs gives the exact number of positive and negative…

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

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

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Q: find all zeros ofthe polynomial. (enter your answers as a comma- separated list.enter all answers…

A: We have to determine value of X

Q: Write an algebraic expression for a degree 3 polynomial with real coefficients having zeros 4 and 3i…

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Q: needed), find the real zeros of the function, f(x) =-75x* – 35x + 20x + 15 (round to three decimal…

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Q: Define a cubic polynomial using x as the variable. Show how to use the Vertical Method to multiply…

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Q: 3. Use Graeffe's Root Squaring Method to determine the real roots of the polynomial equation x3 +…

A: Given the polynomial equation is x3+3x2-6x-8=0

Q: Use the rational roots theorem to find the possible roots of the following polynomial equation: 35x3…

A: Consider fx=35x3-404x2+211x-22, Here, p = factors of constant term 22. So, p=±1,±2,±11. Also, q =…

Q: Write the polynomial in standard form. Then state the degree of the polynomial. -3x +6.5 + 5x? 8x +…

A: Given polynomial is : -3x+6.5+5x2 To write the polynomials in standard form and state the degree of…

Q: Perform the indicated operations. Write the resulting polynomial in standard form and indicate its…

A: To solve the expression:17x3-5x2+4x-3-5x3-9x2-8x+11 Solving the expression:…

Q: Find the degree and leading coefficient of the polynomial. f(x) = x* – 32 – a? – x Degree =| Leading…

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Q: Express your answer as a polynomial in standard form. f (x) = -x - 6 2 g(x) = 3x + 7x + 15 Find:…

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Q: Use the given zero to find all the zeros of the function. Function Zero (x) = 3x3 + 4x2 + 27x + 36…

A: We will solve the following.

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: Find a polynomial equation with real coefficients that has t 8, 9-i The polynomial equation is

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Q: Find all of the real and imaginary zeros for the polynomial function. y = 18x - 109x2 + 456x- 25…

A: Given equation is 18x3-109x2+456x-25To find the zeros, equate the given equation to…

Q: (a) Construct a polynomial x+2x+3x+4 (b) Find out the value of the above for x-1,2,3 (c) Calculate…

A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: List all the possible rational roots for the polynomial F(X)=x^5 +5x^3 +32

A: Consider the function F(X)=x5+5x3+32

Q: Q: 51 Find all the real zeros of the polynomial & use quadratic formula if necessary P(x)=x* - 7x…

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Q: Answer the questions about the following polynomial. 1- a2 + 10x

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Q: Enter a quadratic polynomial which has roots at 13/6 and -4

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Q: Find all real solutions of the polynomial equation. (Enter your answers as a comma-separated list.)…

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Q: Determine whether F(x) = 5x^4 − πx^3 +1/2 is a polynomial. If it is,state its degree. If not, say…

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Q: 3. Determine all the roots (real or complex) of the polynomial p(x) = 2x4+13x³+27x2+13x-15.

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first question. If you…

Q: Zeros for the polynomial: F(x)=x^3-21x+20

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Q: f(x) = 2x3+x2-7x-6Use the Rational Zero Test to factor the polynomial completely. Show the work and…

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Q: Q: Find the zeros of the polynomials f(x)=x'-5x - 2x + 24, Ifit is given that the product of its two…

A: Given polynomial is: fx=x3-5x2-2x+24

Q: If 2-i is a complex zero of P(x)= x* – 3x – x² +13x-10, find ALL zeros of the polynomial.

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Q: the c Give all possible rational zeros for the polynomial. 14) f(x) = 2x3 + 5x2 + 6x - 8 your %3D…

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Q: find all roots of the polynomial f(x)=(3x-2)(3x^2-5)(x^2+9)

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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.