Mathematics
: asked on OliTepley5966

28.01.2021 the following question

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Mathematics

Step-by-step answer

Use synthetic division for these questions. I did all of them, but only showed my step by step work for one of them. If you have any questions about the other answers or are stuck please comment back on this answer with a question and I'd be happy to respond!

Answers:

1. 2x^2−9x+10

2. x^2−2x+4+15/x+2 (don't forget to put 0's in for the coefficients of as well as )

3. The remainder is 4. (In the new equation this would be written as )

4.The remainder is 60.

I included my last page of work in case it helps, but it is not step-by-step so if you have questions, please ask!

Answers:

1. 2x^2−9x+10

2. x^2−2x+4+15/x+2 (don't forget to put 0's in for the coefficients of as well as )

3. The remainder is 4. (In the new equation this would be written as )

4.The remainder is 60.

I included my last page of work in case it helps, but it is not step-by-step so if you have questions, please ask!

Mathematics

Step-by-step answer

Answers:

1. 2x^2−9x+10

2. x^2−2x+4+15/x+2 (don't forget to put 0's in for the coefficients of as well as )

3. The remainder is 4. (In the new equation this would be written as )

4.The remainder is 60.

I included my last page of work in case it helps, but it is not step-by-step so if you have questions, please ask!

Mathematics

Step-by-step answer

The best and most correct answer among the choices your question about trigonometric expressions provided is the first choice which is cos x.

cotx sinx - sin(π/2-x) + cosx

= cosx/sinx * sinx - cosx + cosx

= cosx - cosx + cosx

= cosx

I hope it has come to your help.

cotx sinx - sin(π/2-x) + cosx

= cosx/sinx * sinx - cosx + cosx

= cosx - cosx + cosx

= cosx

I hope it has come to your help.

Mathematics

Step-by-step answer

cotx sinx - sin(π/2-x) + cosx

= cosx/sinx * sinx - cosx + cosx

= cosx - cosx + cosx

= cosx

I hope it has come to your help.

Mathematics

Step-by-step answer

Step-by-step explanation:

I'd say because when you perform long division on divided by . You'll likely divide by first and end up having as the term with the highest degree of the quotient.

Mathematics

Step-by-step answer

8^4 or 4096.

Step-by-step explanation:

log8 x = 4

Therefore by the definition of a logarithm:

x = 8^4

Mathematics

Step-by-step answer

The answer is A. And here's how you get it. You start by simplifying between the numerator and the denominator in the top fraction. Factor the top and the botttom so you have this: [7(x+3)/(x+3)(x+2)]/[(x+6)/(x+2)]. The (x+3)'s in the top fraction cancel each other out leaving you with [7/(x+2)]/[(x+6)/(x+2)]. When you divide fractions by fractions you change the sign and flip the fraction in the denominator so now you have this: [7/(x+2)]*[(x+2)/(x+6)]. The (x+2)'s cancel each other out then leaving you with 7/(x+6)

Mathematics

Step-by-step answer

8^4 or 4096.

Step-by-step explanation:

log8 x = 4

Therefore by the definition of a logarithm:

x = 8^4

Mathematics

Step-by-step answer

Mathematics

Step-by-step answer

Choice A: x^2−2x+4− 15/x+2

Step-by-step explanation:

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