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sweet [91]
3 years ago
5

Let p(x)=x^3+15x^2-8x+2. What is the remainder when p(x) is divided by x-2?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0

Answer:

Step-by-step explanation:

Using synthetic division, the zeros goes into the box, which would be -1

-1  |  1  -3  -1  24

           -1   4   -3

       1  -4   3   21

The remainder is 21

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Factor the polynomial F(x) =x^3-x^2-4x+4 completely.
Norma-Jean [14]

Answer:

Step-by-step explanation:

PART 1:

Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1  -1  -4   4

 <u>      1   0  -4</u>

   1   0  -4  0

The remainder is zero, hence one factor is (x-1)

PART 3:

x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)

PART 4:

f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4

6 0
2 years ago
Caleb wants to rent a kayak. Kayak rentals cost $14.50 for half an hour. If Caleb rents a kayak for a hour and forty-five minute
butalik [34]
14.50 x 2 (2 1/2 hours = 1 hour) = $29.00 + $14.50 (for another 1/2 an hour) = $43.50. Then, divide 14.50 in half for the other 15 minutes that weren't accounted for yet, so: $14.50/2 = $7.25 then add it to our previous total: $43.50 + $7.25 = $50.75 is your answer :) Hope I helped 
7 0
2 years ago
Read 2 more answers
58 is the difference of Janelle's height and 24.
abruzzese [7]

Answer:

Janelle's height is 82 units.

Step-by-step explanation:

Let j represent Janelle's height.

It is mentioned that, 58 is the difference between Janelle's height and 24.

Mathematically, we can write it as :

j-24 = 58

We can solve it as follows :

Adding 24 both sides,

j-24+24 = 58+24

j = 82

Hence, Janelle's height is 82 units.

3 0
2 years ago
Help me please, please​
Elina [12.6K]

Answer:

When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese.

Step-by-step explanation:

7 0
2 years ago
Tacy deposited $6900 into a savings account that earns 3.1% simple interest
Kisachek [45]

Answer:

$8825.10

Step-by-step explanation:

Interest total= P x r x t

P = principal amount, or $6900

r= interest rate, or 0.031

t = time, or 9 years

6900 x 0.031 x 9 = 1925.10

You now add this to the original amount

6900 + 1925.10 = $8825.10

6 0
3 years ago
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