1. Solve the lowest term of the following rational expres= functions. Show your complete solutions. x2 + 5x – 24 x? + x - 12 a) x2 - 5x + 4 x - 1 (x² + 14x + 40 (x² + 5x – 14 x2 + 2x - 8 x2 +7x - 30

Q: -8x 2x 27) x+1 x+5 xr +6x+5 -2x 28) x+1 x+3 xr² +4x+3 3. 3.

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Q: Express as a polynomial.

A: To express 13a2+4b13a2-4b as a polynomial. Solution: We have identity a+ba-b=a2-b2. Using the above…

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

A: For solving a polynomial equation put

Q: The cost C of producing x thousand pairs of sunglasses is given by the equation C=-9x2+7210+380540…

A: The cost C of producing x thousand pairs of sunglasses is given by the equation C=-9x2+7210x+380540…

Q: What will be the remainder of f(x) = 3x - 2x? - 5x - 6 if it is divided by x - 2? *

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Q: solve the following rational equations

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Q: 8. 10- 23x-55x+ 65x2 + 105x + 18 =0 9. 12-13x-81x+ 19 + 57x-18 0 10. 15x5 - 16ct -51x + 32 + 36x-16…

A: (a) 10x5-23x4-55x3+65x2+105x+18=0 Let f(x)=10x5-23x4-55x3+65x2+105x+18 . Substitute x=-1…

Q: 3 1. (6 x ³ - x² - 32 x 20 x² + 5x + 8) = (2x-3) 2. (2x³-54) = (x-3)

A: I am attaching image so that you understand each and every step.

Q: Factor the following rational function: y= x2-3x+18/x2-8x+15

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Q: What expression needs to go in the box to make this rational equation true? 3x³ + 6x² + 12x A B с D…

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Q: Use a graph to find all the solutions of the polynomial and sketch the graph. Solutions must be in…

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: Determine the rational roots of the given equation 4x-3x 1

A: Given that : 4x3-3x=1. Therefore, 4x3=3x+1 Now, add (-4) on both the sides, we get ;…

Q: For what value of m will the polynomial f (x)=x3+2x2+mx+5 have the same remainder when it is divided…

A: The remainder theorem states that: if a polynomial, p(x) is divided by x-b, then the remainder is…

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: Factor the polynomial x* + 9x3 + 27x² + 31x + 12 into the product of factors TIP: If you enter the…

A: The solution is given below:

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: Write each of the following rational expressions in lowest terms. 2p-30 a) 25m4 10m³ b) p²-13p-30

A: This question can be solved using the concept of fractions in lowest term.

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). (6x + 15x? + 5x- 7)…

A: To divide using long division: 6x3+15x2+5x-7÷2x-1 To find: Quotient, qx and the remainder, rx.…

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: 4, 3x + 7x2 - 2x-8 = 0 5. 4x + 12 - 13- 45x - 18 = 0 6. dxt + 11x -43xe + 34x -8 = 0 7. Bxt - 4x -…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…