List all the possible Q roots, do NOT factor. (a) f(x) = x³ – 4x² + 1 (b) g(x) = 4r3 – 4r2 – 17x - 7 (c) f(r) = 3r3 - 4r2 + 5r – 9 (d) f(x) = 3r +3r3 + 3r2 – 20

Q: Given this polynomial x²+3x+5=0 such that r and s are the two roots of the equation. Find the value…

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Q: Solve each rational equation. 0 w+8 5. w-7 10. w²-11w+28 2. W-4 98 11. -%3= x²-49 5. x²+4x+3 3.…

A: Since you have asked multiple questions, we will solve the first(all 3 parts) question for you. If…

Q: 8. If r = -2i, find the remaining zeros for f(r) = r' + 2r³ + 6x² + 8x+ 8

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Q: 1.Solve the following polynomial equations.  a) 2X2+1=x2+2X b) x3+6x2+11x+6=0 C)x5-4x3-x2+4=0…

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Q: Find the roots of the quadratic polynomials: f (x) = x2 − 2x − 1

A: We know that, for an standard equation fx=ax2+bx+c, roots are calculated by using quadratic formula…

Q: 29. Select the quadratic polynomial with roots -1 and 4. 22 + 3x – 4 O a3 – 2a? – 7æ – 4 O 4x2 + 8x…

A: It is given that the equation is in quadratic And the two roots of the equations are -1 , 4    This…

Q: Find all real solutions of the polynomial equation x4 + 6x3 + 3x2 − 16x + 6 = 0.

A: An equation is a mathematical statement which shows an equality relation between two expressions. It…

Q: Find the roots of the quadratic polynomials: f (x) = 4x2 − 3x − 1

A: Given f (x) = 4x2 − 3x − 1

Q: 7.4x+4x3-2Sx2 -x+ 6 0 XI =-3

A: Since you have asked multiple questions, as per company guidelines we will solve the first question…

Q: Find the formula, in standard form y=ax2+bx+cy=ax2+bx+c, for a quadratic that has roots at x = -3…

A: We have to find a quadratic that has roots at x = -3 and x = -2, and has leading coefficient of 1.

Q: Find all real solutions of the polynomial equation x* - 7x + 42x - 36 = 0. х%3D 1,-36, 12 х%3D 1,-7,…

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Q: Given that z = 3 is a root of %3D f(x) = x³ – 10x? + 13x + 24, determine the other real roots. The…

A: It is given that, fx=x3-10x2+13x+24We have to find the smaller and the larger roots.

Q: a. Factor f(x) = 4x - 20x + 33x - 18, given that 2 is a zero. b. Solve. 4x - 20x + 33x – 18 = 0

A: a) we have to factor fx=4x3-20x2+33x-18, given that 2 is a zero. b) we have to solve…

Q: Q4: a) Solve by using Bisection method: x3 - x2 – 2x + 1 [0, 1]

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Q: 1.Solve the following polynomial equations.  a)  2X2+1=x2+2X b)   x3+6x2+11x+6=0 C)…

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Q: (a) Factor: x2-2x- 3 (b) What the roots of x2 - 2x - 3 = 0?

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Q: 4) a) Show that the equation y = x³ + 3x2 + 16 has exactly one real root. What is it

A: To show That the equation y=x^3+3x^2+16 has exactly one real root.

Q: B. Find a polynomial equation with integer coefficients that has the following roots. 1, -2, -5 1.…

A: Given that:                         1. 1, -2, -52. ±1, 23. ±2, ±3

Q: 3 I (x + 1) a factor of 2x° + 3x – 2x – 3? Show how you know. -

A: We need to show that (x+1) is a factor of the given polynomial or not.

Q: Solve for all the roots of x using Bairstow’s Method starting at r1 = 0.25 and s1 = 8.75 of the…

A: Solution:-

Q: (a) Write down the piecewise form for the function |2x – 3|. (b) Hence or otherwise find all…

A: we have to write the given function in piecewise

Q: Find the roots of the functionf(x) = (2x−1)·(x2+ 2x−3) withx∈R

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Q: Solve for the zeros of the quadratic function f(x) = 9x2 + 6x + 1. Write the answer as a fraction.…

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Q: If -5 is a rooot of the quadratic equation 2x2+px-15=0 and the quadratic equation p(x2+x)+k=0 has…

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Q: One factor of f(x) = x^3 –8x^2 – 15x+54 is x - 2. What are the zeros of f(x)?

A: Solution of the equation

Q: Find real root of the equation x^3-3x-5=0 by the bisection method

A: According to the given information, it is required to find the real root of the given equation using…

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

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Q: Find the real solutions of x2 - x - 1 = 0.

A: x2−x−1=0x=−b±b2−4ac2aHere,x=−−1±−12−4⋅ 1⋅−12⋅ 1

Q: 11.Solve the following polynomial equations.  a) 2X3+1=x2+2X b) x3+6x2+11x+6=0 C)x5-4x3-x2+4=0…

A: In the given question we have to solve the given given polynomial equation  (a)    we will…

Q: A fast-food restaurant has a cost of production C (x) = 12x + 95 and a revenue function R(x) = 7x.…

A: Given cost function is Cx=12x+95 and a revenue function is Rx=7x. The profit function is given by…

Q: Find the negative and positive root of -20x^2+28x+36=0 using secant method.

A: Given: -20x2+28x+36=0 To find: Positive and negative root using secant method.

Q: Find the real root of the equation, x - 3x- 5 0 by the bisection method.

A: We will find out the required root.

Q: 3. Find the real roots of the following rational equations. [K8] [C2] -7x 9x +11-12=1 1. a. X-1 3x+8…

A: Find the real roots of  a. -7x9x+11 -12 =1x   b. x-1x+2 = 3x+5x-1

Q: 2. Which polynomial equation has 1, -2, and 3 as roots? A. P(x) = (x + 1) (x – 2) (x + 3) B. P(x) =…

A: Here in the given question we are provided with roots as 1, -2 and 3. And we are asked to find…

Q: a) Find the discriminant of y = 14x2 - 13x +7. %3D b) How many roots does the graph of y = 7x2 – 23x…

A: Given that, There are two equation following, (a). y = 14x2 - 13x + 7 (b). y = 7x2 - 23x + 4 In…

Q: Find ALL of the zeros of the polynomial f(x) = 27x – 8. You will need to use both factoring and the…

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Q: A fast-food restaurant has a cost of production C(x)=13x+90 and a revenue function R(x)=8x. When…

A:

Q: Find all the real zeros of the polynomial P(r) r'+6r+7x-4.

A: Given,          The polynomial is Px=x3+6x2+7x-4 .

Q: 18. What quadratic function that passes the point (2, 1) and to its only zero of 3? A. y = x2-6x - 9…

A: Follow the procedure given below.

Q: Consider the quadratic function f(x) = –2x2 + 4x + 2. Find the y- intercept and the equation of the…

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Q: Find a real root of 3*exp(-x/2)+4*In(x)-2 = 0 using False Position method with a=0.5 and b=2.0…

A: Given:            3*exp(-x/2)+4*ln(x)-2=0           3·e-x2+4lnx-2=0     By using False position…

Q: What is the equation of a quadratic function P with rational coefficients that has a zero of 3 - i?…

A: We need to determine the equation of a quadratic function P with rational coefficients that has a…

Q: f(x) = -5x6 + 8X5 + 9X4 -10X3 +2X2 -22X +45

A: To do the calculations in Excel, first enter the numbers in separate cells. Each number is…

Q: Find the value of the constant "k": 3x^2-5x+ 4k-5-0 has one root equal to 0.

A: We will use formula for root of quadratic equation

Q: y stretched vertically by a factor of 3 52 y- x -1, compressed horizontally by a factor of 2

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Q: Find the quadratic function f(x) = ax2 + bx + c for which f(-2) = -4, f(1) = 2, and f(2) = 0.

A: fx=ax2+bx+c,  f-2=-4,  f1=2  and f2=0. Now put f-2=-4 in fx=ax2+bx+c, we get…

Q: 3. Solve for all the roots of x using Bairstow's Method starting at r₁ = 0.25 and s₁ = 8.75 of the…

A: Given that, A polynomial fx=x4+8x3+72x-81           1, starting with at r1=0.25,  and s1=8.75,  then…

Q: Choose the letter of the best answer. Write the chosen letter on a separate sheet of рaper. 1. What…

A: Consider the given equation 3x2+5x=6. The general form of a quadratic equation is ax2+bx+c=0, a≠0.…