Using any methods discussed, find atleast 1 root for each problem. Upload your solution at the space provided at the end of each problem.(use 2 decimal place only) 32x2 – 5x3 –11 = 0

Q: Create a cubic expression that when divided by (x-1) will have a remainder of 6

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Q: Find the roots of 4x5 – 16x4 + 17x3 – 19x2 + 13x – 3 = 0.

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Q: An air filter has a width of 23 inchws and a length of (3x+32) inches. Find the value of x such that…

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Q: find the equation of a polynomial with the following zeros: 2, -1, 0, 4+i square root 5, 4-i square…

A: In the question we have to find the equation of polynomial  with the following zeros: 2, -1, 0, 4+i…

Q: Express y=2x2+6x+12 in completing the square form. Hence, find the maximum/minimum values of each…

A: The quadratic equation represents a parabola. The vertex form of a quadratic equation is y=ax-h2+k.…

Q: A dolphin dives down into the ocean and resurfaces along a path that is modeled by x² - 8x + 4y = 0,…

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Q: Solve for the range and axis of symmetry of the given quadratic functions

A: To Solve for the range and axis of symmetry of the given quadratic functions4) y=x2+5x-145)…

Q: 4. Determine the sum and the product of the roots of 3x2 11x – 6. %3D

A: Sum of roots = 11/3 Product of roots = 2

Q: Find two negative numbers, x and y, whose product is 728and whose sum is a maximum. Number y =…

A: We have to find two negative numbers x and y whose product is 728 and its sum is maximum.

Q: Rewrite the following quadratic function y = x2 + 2x – 77/22 in vertex form by completing the…

A: The question  asked about the basic concepts  related to quadratic  equations.

Q: Express the product of (2x +) and (x – 1) simplest form. as a trinomial in - 5/2

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Q: Grap Grou Practice: 1) Graph y= 2sin(x) b) Start: c) Maximum: (,2) d) Minimum: ( 3/272) e) Zeros: )…

A: To find- start of the function.

Q: (5) [8] Find a real general solution of the equation y" + 12y" + 36y = 36 cos(3t).

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Q: Express y=-2x2+6x+12 in completing the square form. Hence, find the maximum/minimum values of each…

A: We will find out the required values.

Q: 4. (4x2 - 12x + 9) (x2-6x + 9) (9x2- 12x + 4) = 0 5. (4x2- 8x + 3) (6x2 - 13x-5) (6x2 + 5x - 4) = 0…

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Q: Identify all roots of the polynomial 3-4x²-3x+18. State the multiplicity of each root, and explain…

A: See this solution in below.

Q: For the following polynomial, one zero is given. Find the remaining zeros. P(x)=x +7x - 144, 4i is a…

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Q: Solve for x

A: According to given problem and we have to find value of x

Q: Solve. x-sqrt(x+11)=1

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Q: The parabola y = kx2 – 3x + (k+2) has two distinct real roots. What set of values can k be?

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Q: Solve. у 4x - 3y = 12 28x12y = 48 Need Help? Watch It Master It

A: Given: 4x-3y=1228x-12y=48

Q: The height of a sunflower plant can be determined by the time t in weeks after the seed has…

A: To: Write a model to represent the height h when the height is given by the product of 8 and the…