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svp [43]
2 years ago
15

SUBJECT: Algebra LESSON: Multiplying Polynomials (x^3 + 2x − 3)(x^4 − 3x^2 + x)

Mathematics
1 answer:
NNADVOKAT [17]2 years ago
7 0

Answer:

Step-by-step explanation:

(x^3 + 2x − 3)(x^4 − 3x^2 + x)

Multiply each value of 2nd bracket with 1st bracket:

=x^4(x^3 + 2x − 3) - 3x^2(x^3 + 2x − 3) +x(x^3 + 2x − 3)

=x^7+2x^5-3x^4-3x^5-6x^3+9x^2+x^4+2x^2-3x

Now combine the terms with same power:

=x^7-x^5-2x^4-6x^3+11x^2-3x

You can also  take the common from the expression:

x(x^6-x^4-2x^3-6x^2+11x-3)....

The product of (x^3 + 2x − 3)(x^4 − 3x^2 + x) is x(x^6-x^4-2x^3-6x^2+11x-3)....

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13. For the arithmetic sequence: 6, 12, 18, 24,...
serg [7]

a_15 = 90

a_n = 6n

Step-by-step explanation:

Given sequence is:

6, 12, 18, 24,...

First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

d=a_2-a_1 = 12-6 = 6\\d=a_3-a_2= 18-12 = 6

The general form for arithmetic sequence is:

a_n=a_1+(n-1)d

Putting the values for a_1 and d

a_n=6+(n-1)(6)\\a_n=6+6n-6\\a_n=6n

<u>a) Find a15</u>

a_{15} = 6(15)\\=90

<u>b) Write an equation for the nth term.</u>

The equation is: a_n=6n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

4 0
3 years ago
What is 3(8×4-6) +5920 ÷294
rjkz [21]

Answer:

98.13

Step-by-step explanation:


5 0
3 years ago
Bill needs to edge his yard with the dimensions in the shape below. What area will he have walked after completing his edging? R
meriva

Answer:

37.8

Step-by-step explanation:

The distance is the addition of all sides of the figure. Then, we need to find the length of the diagonal (d). To do that we have to make a right triangle with height (h) = 5 m. Given that the top length is 12 m and the bottom length is 15 m, the base (b) of the triangle is 15 - 12 = 3 m.

Using Pythagorean theorem:

d² = h² + b²

d² = 5² + 3²

d = √34

d = 5.8 m

Therefore, the distance he will have walked is 5.8 + 12 + 15 + 5 = 37.8 meters

Credits to:<u>jbiain</u>

8 0
3 years ago
What is the value of x?<br><br>please help​
wlad13 [49]
X=X but I can’t know until I see the full problem
4 0
2 years ago
Water is being drained out of a swimming pool at a constant rate of 780 gallons per hour. The swimming pool initially contained
german

45,000-780h=y

It looses 780 gallons per hour so you do 780 time # of hours.

3 0
3 years ago
Read 2 more answers
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