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madam [21]
3 years ago
13

Consider the polynomial function g(x)=x³-3x²+6x+8. Divide g by x+1.

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

Quotient ( x² -4x +10)

Reminder -2

Step-by-step explanation:

We have to consider the polynomial function g(x) = x³ - 3x² + 6x + 8

Now, we have to divide g(x) by (x+1)

Let us arrange the terms of g(x) to get (x+1) as common.

x³ - 3x² + 6x + 8

= x³ +x² -4x² -4x +10x +10 -2

= x² (x +1) -4x (x +1) +10 (x +1) -2

= (x +1)( x² -4x +10) -2

Hence, if we divide g(x) by (x +1) then the quotient will be ( x² -4x +10) and the reminder will be -2. (Answer)

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Indicate which two quadrants “theta” could terminate if sin theta = 4/5
Nitella [24]

Answer:

1st and 2nd quadrants

Step-by-step explanation:

You have sine is positive since it is 4/5.

Sine is the y-coordinate.

On the coordinate plane y is positive in the 1st and 2nd quadrants.

8 0
3 years ago
A florist had 88 flowers. She wanted to put
EastWind [94]

Answer:

2 (Remainder 4) In decimal form to the hundredths: 2.09

Step-by-step explanation:

<h3>42 can only go into 88 two times, so 42 x 2 = 84. So then 2 is your answer. BUT you have 4 left, so it's 2 remainder 4. If you want to round to the tenths, hundredths, ect, here is the original decimated number: 2.09523809524</h3>
4 0
3 years ago
Suppose that
Diano4ka-milaya [45]

Answer:

sin(B) = 12/13

cos(B) = 5/13

tan(B) = 12/5

csc(B) = 13/12

sec(B) = 13/5

cot(B) = 5/12

Step-by-step explanation:

If ABC is a right triangle, assuming that ∠C = 90°, then the segment AB =13 is the hypotenuse and the other two sides are:

BC = 5\\AC = \sqrt{13^2 - 5^2}\\AC = 12

The six  trigonometric functions of angle B are:

sin(B) =\frac{AC}{AB}= \frac{12}{13}\\cos(B) = \frac{BC}{AB} =\frac{5}{13}\\tan(B) = \frac{AC}{BC} =\frac{12}{5}\\\csc(B) =\frac{1}{sin(B)}= \frac{13}{12}\\sec(B) = \frac{1}{cos(B)} =\frac{13}{5}\\cot(B) = \frac{1}{tan(B)} =\frac{5}{12}\\

7 0
4 years ago
How do I find the cost for the sales tax if the price is $7 and the sales tax is 8% or 0.08
galina1969 [7]
Multiply 7 by 0.08 and you get $0.56. $0.56 is the tax. For other tax questions just multiply the price and the sales tax as the decimal.  
7 0
3 years ago
Read 2 more answers
Drag statements and reasons to complete the proof
Rzqust [24]

Answer:

see below

Step-by-step explanation:

1) Slope from P to Q is F/E

2) Definition of slope

3) F'/E' = F/E

4 0
3 years ago
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