Consider the polynomial P(x) = 4x6 − 4x5 + 11x¹ − 7x³ +5x² + 2x − 2. (b) Use Descartes' Rules of Signs to determine the number of possible positive real zeros and the number of possible negative real zeros of P(x).

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A: Given:           (x−a)(x−b)

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A: Given equation is To find x intercept , substitute h(x) with 0 and apply zero factor property

Q: Consider the polynomial P(x) = x² + 3x³ - 2x² − 3x +2. (a) Determine another polynomial Q equivalent…

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Q: Given h(r)=−r6+12r^5−80r^4+492r^3−1611r^2+2160r−972 and 6i is a zero of h, answer the following…

A: As many parts are given , I will solve only the first 3 parts : We are given :…

Q: Given f(x)=(x-3)(x+2)(x+3), give a strategy for writing the expanded form of the polynomial

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Q: Use Descartes' rule of signs sign rule to determine what's the number of possible real positive and…

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Q: Find all zeros of the ploynomial (real and complex) and factor the polynomial completely…

A: To obtain the roots of the function use the synthetic division as, -31    7    18    18   -3 -12  -8…

Q: Let F be the vector field defined as follows: F = (r°, y°, 2x²z + 2y²z). (i) Compute V. F in…

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Q: Degree 3: zeros: 1 + i and -5 3

A: Given that degree 3, roots (1+i) and -5 we have to find the polynomial

Q: 3. Find all zeros(real and complex) of the polynomial P(x) = x* + x³ + 7x² + 9x – 18, making sure to…

A: The given polynomial is  P(x) = x4 +x3 + 7x2 + 9x - 18

Q: Determine the standard form of the following polynomial: p(x) = (2x²+1)(x²-3)

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Q: Find all of the real zeros, and their multiplicities, of the polynomial q(x) = 2x4+ 3x3 - 15x² - 32x…

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Q: Let P (x)=x3+2x2-x-2, when factored P (x) =(x+1)(x-1)(x+2) state the domain  state the y-intercept…

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Q: P (x) = 6x² – 17x³ − 28x² − x + 4 a. List all the possible rational zeros of the polynomial. b. Use…

A: The polynomial .To find:(a) all possible rational roots(b) if there is root between  and  using…

Q: Find the integers that are upper and lower bounds for the real zeros of the polynomial (show all…

A: If polynomial function has integer coefficients, then every rational zero will have the form p/q…

Q: Completely factor the polynomial f(x)=x²-24x³ +215x²-852x+1260. Hint f(x) has a double root

A: Let's find factor of given polynomial.