Concept Check 10. x-5x+x-4, x-1 In Exercises 1 to 4, determine whether the given division can be performed using synthetic division. P(x). 11. 2x+5x-6x + 4x +3, 2x-x+1 1. (+ 2x-5x + 3) + (x- 2) 12. 3x + x-5x + 2, x-2x + 2 2. (2x-3x+ 6x - 5) (x + 3) 13. 2x -x+ 5x-9x + 6, 2x+ 2x-3 der in the division 3. (x-x-3) + (x² + 1) 14. x + 3x- 2x- 7x-x+ 4, +1 ( -) * (x + 8) + (x +8) 4. In Exercises 15 to 28, use synthetic division to divide the first polynomial by the second. r is 5. If a polynomial P(x) is divided by (x- 4) and the remainder is 7, then what do we know about P(4)? 15. 4x -5x + 6x-7, x- 2 16. 5x + 6x²-8x + 1, x- 5 6. If (x- 3) is a factor of the polynomial P(x), then what do we know about P(3)? 17. 4x. 2x + 3, x + 1 and only In Exercises 7 to 14, use long division to divide the first polynomial by the second. 18. 6x -4x + 17, x +3 7. 5x + 6x- 17x +20, x + 3 19. x - 10x + 5x- 1, x - 4 8. 6x+15x2 - 8x + 2, x + 4 20. 6x* - 2x- 3x - x, x- 5 2 - x + 20 9. x- 5x2 + 3x - 1, x-2 21. x- 1, x- 1 us 22. x* + 1, x+ 1 Indicates Try It Exercises

Q: lim, 2+ f(x) = →2+ lim 2- f(x) =

A: Given query is to find indicated limit.

Q: 2/5+4/8

A: We have to find the sum

Q: 4n – 1

A:

Q: 3. 3 de dy 40

A:

Q: -2- 4- 3 10

A:

Q: 7/2 + 3 4/6

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Q: 22n+1 3n+1 2.

A:

Q: 7 11

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Q: -5 -1 1. 4

A:

Q: Let Mbe as in Equation (3.14) and let X = [1, 0, ½]¹. Show that the entries of Y=MX sum to 1.

A:

Q: -8 - 12

A: Given problem is

Q: 4(5+6)=

A: Given: 4(5+6)=

Q: Match the possible graph for the function f with the specified properties: (i) the domain of ƒ is…

A: The function has properties,(i) the domain of f is -5,5(ii) f-5=f0=f5=5(iii)…

Q: -3 -10

A: The given equation is:  -3   2÷-10    7

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: V415

A: Given query is to find the square root of 415.

Q: 4 1/2 + 3 2/3=

A: Given,

Q: 3 X-

A: Given,xdydx + y = xy3 — 1This is Bernoulli's equation.Divide both side by -12 xy3- 2dydxy3 - 2xy2 =…

Q: 11 35

A:

Q: 11 –/7

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Q: 2

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Q: 1 3 8.

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Q: 8y3 + 216

A:

Q: limx→2 f(x) = lim, ¹x→−1+ f(x) =

A: Given graph of the function fx is   1. Find :  limx→2 fx. 2. Find :limx→-1+ fx.

Q: 2/5 +7/12

A: Please see the answer below.

Q: -2 -4 and D = 4 8

A:

Q: Graph. 0 = - 4

A:

Q: nvert

A:

Q: iv. Un 32n

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.