53-56 - Polynomials with Specified Zeros Find a polynomial with real coefficients of the specified degree that satisfies the given conditions. 53. Degree 3; zeros -, 2, 3; constant coefficient 12 54. Degree 4; zeros 4 (multiplicity 2) and 3i; integer coefficients; coefficient of x² is -25 55. Complex Zeros of Polynomials Does there exist a polyno- mial of degree 4 with integer coefficients that has zeros i, 2i, 3i, and 4i? If so, find it. If not, explain why. 56. Polynomial with no Real Roots Prove that the equation 3x* + 5x² + 2 = 0 has no real root.

Q: Match each polynomial with its end behavior 3x³7x+8 2-3x³ +9x -2x² +8x-5 -x³-8x²+2x-5 DRAG & DROP…

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Q: Is the polynomial in standard form? [ Select] Classify the polynomial by degree [Select] * and…

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Q: Consider the following. f(x) = x² + 2x² - 8 (a) Write the polynomial as the product of factors that…

A: f(x)=x4+2x2-8(a) we know  (a+b)(a-b)=a2-b2

Q: f (æ) = 53 substitution to evaluate the given polynomial. 2a2 - 8x 16; a= 3 Question#16 Sim

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Q: The number of zeros of the polynomial x+4x +1 in Z, is. O None O 2 O 4

A: solution of the given problem is below

Q: Use the graph to answer the following:

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Q: Give examples of: 1. A polynomial of degree 3. 2. A polynomial of degree 5 with exactly 3 terms. 3.…

A: Give examples of ;  (1) A polynomial of degree 3  (2) A polynomial of degree 5 with exactly 3 terms…

Q: For the above quartic polynomial f(x)=22-22³-15.752², identify the interval on which f is concave…

A: given

Q: • Question 7 What is the least possible degree of the polynomial graphed above? Add Work 6. 4. 3.

A: The given graph is:   To find the least possible degree of the polynomial graphed above.

Q: Which of the following is TRUE about the polynomial below? * y = (2x + 3)(x – 1)2 The graph will…

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Q: log5 5^x+y

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Q: nat is a polynomial function in standard form with zeroes 1, 2, -3, and –1? Og(x) =x* + x³ – 7x-x+ 6…

A: We have to find polynomial by given zeros.

Q: Determine the multiplicity of the zeros of the following polynomials. 1. f(x) = (x - 2) 2. f(x) = (x…

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Q: Find a polynomial with real coefficients of degree three, with zeros of the polynomial being x=(1+i)…

A: From the polynomial

Q: Let p1(x) = x - 2020x² + b,x +c, and p2(x) =x' - 2021x + b,x + cz be polynomials having two common…

A: Given- p1(x)=x3-2020x2+b1x+c1and p2(x)=x3-2021x2+b2x+c2  are having two common roots α and β. There…

Polynomials

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